Inverse Sine, Cosine, & Tangent: 동영상 및 연습문제

Determine the exact value of the following trigonometric expression without the help of the calculator.

tan^-1 [tan(-π/3)]

Determine the exact value of the following trigonometric expression without the help of the calculator.

tan^-1 (tan 3π/4)

For the following trigonometric expression, evaluate and give the answer as an exact value in radians.

tan^{- 1}(- 1)

Transform the following expression into an algebraic expression. Use a right triangle in writing the algebraic expression. Assume that the inverse trigonometric function is defined for its argument and assume that x > 0.

sin (tan⁻¹ 4x)

Identify the equation which has a solution equal to $\(\frac{2\pi}{3}\)$ .

Find the solution of the equation on the interval [0, 4] using a calculator. Round the answer to four decimal places.

$\(\left\)(\(\arctan\) x\(\right\))^3-3x+5=0$

Determine the angle measure $\(\theta\)$ without using a calculator. Express the answer in degrees.

$\(\theta\)=\(\arcsin\]\left\)(7\(\right\))$

Determine the exact value of the given inverse trigonometric function without using a calculator.

$y=\(\sec\)^{-1}\(\left\)(-1\(\right\))+\(\sec\)^{-1}\(\left\)(2\(\right\))$

What is the primary purpose of an inverse trigonometric function?

Which angle corresponds to the inverse cosine of 0.5?

What is the range of the inverse cosine function?

If cos(θ) = -0.5, what is the value of θ in the range of the inverse cosine function?

What is the inverse sine of 1?

What is the domain of the inverse sine function?

What is the inverse tangent of 1?

What is the range of the inverse tangent function?

Using a calculator, what is the inverse sine of 0.5 in radians?

If sin(θ) = -√3/2, what is the value of θ in the range of the inverse sine function?

Which of the following is the inverse function of tangent?

What is the inverse cosine of -1?