Trigonometric Functions on Right Triangles: 동영상 및 연습문제

Using the given diagram, state the bearing of O to P.

Using the given diagram, state the bearing of O to S.

A line l makes an angle of 75° with the x-axis and passes through the point (12, 0). Write the equation for the line l.

Determine the measure of two equal sides of an isosceles triangle if the base side is 45.36 m and the angle opposite to the base side is 45.582°.

Derive a mathematical formula for x in terms of y, C, and D for the following triangle. Note that C < D.

Draw a valid right triangle for which sin θ = 5/13.

Determine the bearing of an object located at the point represented by the coordinates given. 

(-10, -10)

Determine the bearing of an object located at the point represented by the coordinates given. 

(4, 4)

A tourist walking in a desert walks 33 km on a bearing of 53° and then 75 km on a bearing of 143°. Find the distance between the endpoint and the initial starting point of the tourist.

Two runners start running from a point at the same time. One runner starts on a bearing of 20° at a speed of 15 km/h, and the other runner starts on a bearing of 290° at a speed of 20 km/h. Determine the distance between both runners after 2 hours.

Sam leaves his office on a bike at a bearing of N 54° 20' E at a speed of 50 km/h, and at the same time, his boss leaves in a car at a bearing of S 35° 40' E at a speed of 80 km/h. Determine the distance between them after 5 hours. 

If it takes 3 hours for a girl to go from her home to the office at a speed of 30 km/h, then determine the distance between the hospital and the office. The bearing from her home to the hospital is N 54° W, from her home to the office is S 80° W, and from the office to the hospital is N 36° E.

The bearing from P to Q is S 18° E. The bearing from Q to R is N 72° E. A cyclist riding at 20 mph takes 2.25 hours to go from P to Q and 2.75 hours from Q to R. Determine the distance from P to R. 

Find the height of a flagpole positioned at the centre of the roof of a building, where the angle of elevation from a point on the ground 35 meters away from the center of the building to the top and bottom of the flagpole is 40° 30' and 35° 20' respectively.

On a curved road, two points, P and Q, are observed from point R. If distance PR is 2.567 km and QR is 2.359 km, determine the angles P and Q. 

Find the value of sec (π/2 - θ) if sin θ = 1/5 and θ is an acute angle.

Check whether the following statement is possible or not.

sin θ = 1/4 , csc θ = 4

Check whether the following statement is possible or not.

cos θ = 2.7

Check whether the following statement is possible or not.

sin² θ + cos² θ = 3.5

Using the reciprocal identity, determine the value of the following trigonometric function if sin θ = -4/9.

csc θ

Using the reciprocal identity, determine the value of the following trigonometric function if tan θ = 15.

cot θ

Using the reciprocal identity, determine the value of the following trigonometric function if csc θ = (√20)/8.

sin θ

Using the reciprocal identity, determine the value of the following trigonometric function if csc θ = 2.5.

sin θ

Enumerate the value of the other five trigonometric functions of A given the following trigonometric function and condition. Rationalize the denominators if necessary.

tan A = - 12/5, A is in Quadrant II

Enumerate the value of the other five trigonometric functions of P given the following trigonometric function and condition. Rationalize the denominators if necessary.

sin P = (√10)/8, P is in Quadrant I

Check whether the following statement is possible or not.

The value of sec θ is 3/5 if cos θ = 5/3

Identify the signs of sine, cosine and tangent if the measure of the angle in the standard position is 67°.

Identify the signs of sine, cosine and tangent if the measure of the angle in the standard position is 167°.

Identify the signs of sine, cosine and tangent if the measure of the angle in the standard position is -23°.

Identify the signs of sine, cosine and tangent if the measure of the angle in the standard position is -314°.