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0. Review of College Algebra(0)

Rationalizing Denominators
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Pythagorean Theorem & Basics of Triangles
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Basics of Graphing
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Functions
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Transformations
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Asymptotes
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Solving Linear Equations
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Solving Quadratic Equations
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Complex Numbers
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1. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
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Complementary and Supplementary Angles
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Radians
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2. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
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Special Right Triangles
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Cofunctions of Complementary Angles
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Solving Right Triangles
(0)

3. Unit Circle(0)

Defining the Unit Circle
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Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
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Reference Angles
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Reciprocal Trigonometric Functions on the Unit Circle
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4. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
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Phase Shifts
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Graphs of Secant and Cosecant Functions
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Graphs of Tangent and Cotangent Functions
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5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
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Linear Trigonometric Equations
(0)

6. Trigonometric Identities and More Equations(0)

Introduction to Trigonometric Identities
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Sum and Difference Identities
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Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
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7. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
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8. Vectors(0)

Geometric Vectors
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Vectors in Component Form
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Direction of a Vector
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Unit Vectors and i & j Notation
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Dot Product
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Cross Product
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9. Polar Equations(0)

Polar Coordinate System
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Convert Points Between Polar and Rectangular Coordinates
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Convert Equations Between Polar and Rectangular Forms
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Graphing Other Common Polar Equations
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10. Parametric Equations(0)

Graphing Parametric Equations
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Eliminate the Parameter
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Writing Parametric Equations
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11. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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7. Non-Right Triangles

Law of Cosines

7. Non-Right Triangles

Law of Cosines: 동영상 및 연습문제

비디오 강의 실무 워크시트

44 문제점

연습하고 싶은 문제 유형:

문제 1객관식

Find the missing side lengths and angles of the triangle. Express the lengths and angles in one decimal place.

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문제 2객관식

Given the vertices of a triangle, determine the lengths of all its sides and measure all its angles. Round the side lengths and the angles to one decimal place.

A(- 2, 0), B(- 6, 5), C(4, - 2)

문제 3객관식

Find the solution for the following triangle given the measurement of one angle and two sides. If there is no possible triangle, indicate "no triangle," and if two triangles exist, solve each one. Round the resulting angle and side measurements to one decimal place.

C = 71°, a = 19, b = 9

문제 4객관식

B = 143°, a = 13.9, c = 55.6

문제 5객관식

Calculate the area of the triangle provided the following side lengths. Express the result to two decimal places.

a = 11 inches, b = 18 inches, c = 23 inches

문제 6객관식

Using the law of cosines, calculate the measure of z given the following measurements for the oblique triangle XYZ. Round the answer to two decimal places.

Z = 87°, x = 11 ft, y = 17 ft

문제 7객관식

Calculate the area of the triangle provided the following side lengths. Express the result to two decimal places.

a = 19 ft, b = 19 ft, c = 19 ft

문제 8객관식

Find the missing side lengths and angles of the triangle. Express the lengths to one decimal place and the angle to the nearest degree.

p = 6, q = 9, r = 13

문제 9객관식

For the given triangle, determine the area of the triangle using Heron's formula and report the area rounded to the nearest square unit.

p = 21 feet, q = 16 feet, r = 6 feet

문제 10객관식

Find the missing side length and angles of the triangle. Express the length to one decimal place and the angle to the nearest degree.

Triangle ABC with angle A at 76 degrees, side b=5, and side c=3.

문제 11객관식

Find the missing angles of the triangle. Express the angle to the nearest degree.

Triangle ABC with sides a=13, b=16, c=7, illustrating the Law of Cosines in trigonometry.

문제 12객관식

Find the missing side length and angles of the triangle. Express the length to one decimal place and the angle to the nearest degree.

p = 9, q = 8, R = 72°

문제 13객관식

Find the missing side length and angles of the triangle. Express the length to one decimal place and the angle to the nearest degree.

q = 6, r = 2, P = 38°

문제 14객관식

Find the missing side length and angles of the triangle. Express the lengths to one decimal place and the angle to the nearest degree.

p = 7, r = 3, Q = 40°

문제 15객관식

Find the missing side length and angles of the triangle. Express the length to one decimal place and the angle to the nearest degree.

p = 9, r = 4, Q = 90°

문제 16객관식

Find the missing angles of the triangle. Express the angle to the nearest degree.

p = 4, q = 7, r = 10

문제 17객관식

Find the missing angles of the triangle. Express the angle to the nearest degree.

p = 24, q = 24, r = 24

문제 18객관식

Find the missing angles of the triangle. Express the angle to the nearest degree.

p = 24, q = 75, r = 58

문제 19객관식

For the given triangle, determine the area of the triangle using Heron's formula and report the area rounded to the nearest square unit.

p = 12 m, q = 12 m, r = 2 m

문제 20객관식

For the given triangle, determine the area of the triangle using Heron's formula and report the area rounded to the nearest square unit.

p = 24 cm, q = 15 cm, r = 11 cm

문제 21객관식

Let a triangle be labeled as PQR.

For the given measurements, find out if SAA, SAS, ASA, SSA, or SSS is given. Also, state the law which is suitable for solving the triangle.

P, Q, and r

문제 22객관식

Let a triangle be labeled as PQR.

For the given measurements, find out if SAA, SAS, ASA, SSA, or SSS is given. Also, state the law which is suitable for solving the triangle.

p, q, and R

문제 23객관식

Determine the missing side length of the triangle.

Triangle with sides 2 and 4, and angle 60°, for Law of Cosines problem.