Simplify the expression: Give the answer in exact form. sin ( arcsin 2 + arctan( – 3)

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Q: Simplify the expression: Give the answer in exact form. () tan arcsin + arccos

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Q: rewrite

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A: We can find the answer as below.

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Q: Write the trigonometric expression as an algebraic expression. sin(arctan 7x - arccos x)

A: Given,     sin[arc tan(7x)-arc cos(x)] = sin [ tan-1(7x) -cos-1(x) ]         Let,…

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Q: How do you solve this?

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A: Given,             tanx+cotxsecxTo find : Simplify the trigonometric expression in terms of sinx.

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Q: Write the trigonometric expression as an algebraic expression. sin(arctan 3x – arccos x)

A: sinarctan 3x-arccos x arctan 3x=α,  cos x=β tanα= 3x,  cos β=x Assume, 0≤x≤1 So, 0≤α,    β≤π2…