Prove the identity. sin x + sin 3x cos x + cos 3x = tan 2x Use the Sum-to-Product Formulas and then simplify.

Q: 1-¹ (sin(-57)). Evaluate sin

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Q: Rewrite the expression as an algebraic expression in x. cos(tan-(x))

A: Given cos(tan-1(x)),

Q: Rewrite the expression as an algebraic expression in x. tan(sin-1(x))

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Q: Rewrite the expression as an algebraic expression in x. sin(tan-¹(x))

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Q: Use identities to fill in the blank. 2 then - sin (-0) = 3' If sin 0 = - sin (-0) = (Type an integer…

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Q: sec" (*) 1 - tan?(x) cos? (x) %3D sin(x) + sin(x) sin“ (æ) – cos“ (x) = -

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Q: Multiply and simplify. (1– tan o)? (1– tan þ)² = 4)² = D (Simplify your answer.)

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Q: -sin? 3 cos 3

A: Given trigonometric expression is cos2π3-sin2π3.

Q: Find exact values for cach expression using sum and difference, double and half angle, or sum to…

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Q: Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

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Q: Use the sum or difference identities to simplify the expression to a single trig function or a…

A: We simplify it using trigonometric identities

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.