Find the exact value of the expression. cos(sin^-1 (√(3))/(2)+cot^-1 √(3))

Name: Problem 48, Chapter 8: Algebra and Trigonometry
Uploaded: 2020-07-24T21:26:49-08:00
Duration: 2 min 45 s
Channel: Noraney Ocampo
Description: Find the exact value of the expression. cos(sin^-1 (√(3))/(2)+cot^-1 √(3))

step 1 So for this problem, we have to find the exact value for cosine of sine inverse of radical 3 ove

Find the exact value of the expression. cos(sin^-1...

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Key Concepts

Exact Values of Trigonometric Functions

Knowing the exact trigonometric values for common angles, often derived from the unit circle or special right triangles, is critical for solving problems without approximations. These exact values enable the precise calculation of expressions that involve trigonometric functions.

Angle Addition Formula for Cosine

The angle addition formula for cosine is a fundamental identity that expresses the cosine of the sum of two angles in terms of the products of the sines and cosines of the individual angles. This formula is essential for breaking down and simplifying expressions involving the cosine of a sum of angles.

Inverse Trigonometric Functions

Inverse trigonometric functions, like sin?¹ and cot?¹, are used to determine an angle when a trigonometric value is provided. They reverse the standard trigonometric functions by mapping a ratio to a unique angle within specific ranges, ensuring each input corresponds to a single output.

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