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: In Exercises 81–86, use words to describe the formula for each of the following: 81. the cosine of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A:

Q: 12 Skill Practice 4 Find the exact value of cos sin + tan 37 12

A: Given expression: cossin-1-1237+tan-1512

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

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

Q: Rewrite the expression as an algebraic expression in x. sin(tan-1(x)) Need Help? Read It

A:

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: sin-1 (0.8422)

A:

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.

A:

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

A:

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

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

Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.  The constructible…

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

A: Explain:

Q: COMPUTER EXPLORATIONSIn Exercises 71–74, you will explore graphically the general sinefunction

A: We have to put values of B and then check what happens to the graph.    According to our guidelines…

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

A:

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.