Inverse Sine, Cosine, & Tangent: 동영상 및 연습문제

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

sin^-1 (sin 2π/3)

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)

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

sin^-1 (sin 2π)

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

sin(sin^-1 2π)

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

sin^{- 1}((√3)/2)

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

sin^{- 1}(- (√3)/2)

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

sin^{- 1}(- (√2)/2)

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

cos^{- 1}((√2)/2)

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

cos^{- 1}(- 1/2)

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

tan^{- 1}(1)

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

tan^{- 1}(- 1)

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

cot^{- 1}(1)

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

cot^{- 1}(- 1)

For the following trigonometric expression, evaluate and approximate the answer (in radians) to four significant figures.

sin^{- 1}(0.8)

For the following trigonometric expression, evaluate and approximate the answer (in radians) to four significant figures.

sin^{- 1}(- 0.87)

For the following trigonometric expression, evaluate and approximate the answer (in radians) to three significant figures.

cos^{- 1}(4/9)

For the following trigonometric expression, evaluate and approximate the answer (in radians) to three significant figures.

cos^{- 1}((√3)/8)

For the following trigonometric expression, evaluate and approximate the answer (in radians) to three significant figures.

tan^{- 1}(- 54)

For the following trigonometric expression, evaluate and approximate the answer (in radians) to three significant figures.

tan^{- 1}(- √289)

Determine the exact value of the following trigonometric expression using the properties of the inverse functions.

cot(cot^-1 7π)

Determine the exact value of the following trigonometric expression using the properties of the inverse functions.

sec(sec^-1 5π)

Determine the exact value of the following trigonometric expression using the properties of the inverse functions.

cot^-1 (cot 5π/6)

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

csc^{- 1}(- √2)

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

sec^{- 1}(- 2)

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)

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.

sec (sin⁻¹ (4/√(x² + 16)))

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.

csc (tan⁻¹ 3x)

Determine the exact value of the following trigonometric expression by sketching.

cos (sin^-1 (35/37))

Determine the exact value of the following trigonometric expression by sketching.

$\(\tan\]\left\)[\(\sin\)^{-1}\(\left\)(-\(\frac{20}{29}\[\right\))\(\right\]\rbrack\)$