Trigonometric Equations with Inverse Functions

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What is the value of x if sin[cot^{-1}(x+1)] = cos[tan^{-1}(x)]?

x = 0

What is the relationship between sin[cot^{-1}(x+1)] and cos[tan^{-1}(x)] in the given equation?

They are equal.

How can the equation sin[cot^{-1}(x+1)] = cos[tan^{-1}(x)] be simplified?

By substituting the inverse trigonometric functions and solving for x.

Explore a trigonometric equation involving inverse functions and find the value of x. Simplify the equation sin[cot^{-1}(x+1)] = cos[tan^{-1}(x)] to solve for x.

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