In Exercises 63–72, use a right triangle to write each expression as an algebraic expression. Assume that x is positive and that the given inverse trigonometric function is defined for the expression in x. 63. tan(cos- x) 64. sin(tan-! x) 65. cos(sin-1 2x) 66. sin(cos-1 2x) 67. cos( sin) 68. sec cos 69. cot tan V3. 70. cot tan Vz 9 71. sec sin 72. cot sin x² +4.

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A: Solution of the problem as follows

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A: Proof:

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Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

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Q: Verify the Identity: tan 0+ cos 1+sin 0 -= sec 0

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Q: tan x 4. Simplify the expression tan x+cot x O sin æ sin x O cos? a COS COs x

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Q: 7) Verify the identity (cot x – csc x)(cos x + 1) = -sin x

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Q: 9. Find the exact value of the expression. Do not use a calculator. sin [tan (1)]

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Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin- (-) = b. tan-(-V3) =

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A:

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A: To verify:

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Q: Find the exact value of the expression. Show work.

A:

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Q: Verify that the equation is an identity. sin x- cosx 1-2 sin x cosx Show that sinx+ cosx 1- 2 cos?x…

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