Evaluating an Inverse TrigonometricFunction In Exercises 77–80, find the exact value ofthe expression.77. arcsin(−1)78. cos−1 179. arccot √380. arcsec(−√2)

Q: Angle EFG has a measure of 133°. Triangle EFG is rotated 180° counterclockwise about point F to…

A:

Q: Solve: 5+ln(4x - 7) = 8

A: solve :  5+ln(4x-7)=8 evaluate : sinπ3

Q: 6. Rewrite the expression as a function of a positive acute angle (in radians). DO NOT EVALUATE. (a)…

A: (a).   The given expression is: csc(3.75π)

Q: sin (-) 3.

A: Given data is: tan5π4 To find the value of tan5π4

Q: Tan ( 3θ - 4 degrees ) = 1/ cot ( 5θ - 8 degrees)

A: Solve:

Q: -1 Simplify the expression sin (tan(3 )), where the angle is measured in radians.

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Q: For Exercises 73–104, verify that the equation is an identity.

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Q: Find the exact value. Must show a diagram. cos sin-(-)]

A: We know that: Sin2θ+Cos2θ=1And,CosCos-1(θ)=θ.

Q: Using complete sentences, explain why arccos(1/6) is defined, but arccos(6) does not make sense.

A: Explain:

Q: Knowing that cos(22.5 deg) = (1/2)(square root of 2 + (square root of 2)), find the exact value of…

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Q: tan(theta+30)

A: The trigonometric identity of tangent is expressed as tanA+B=tan A+tan B1-tan A tan B The value of…

Q: tan-1(sin-1(24/25))

A: Given query is to find indicated trigonometric value.

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.