Verifying Trig Identities Worksheet

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Verifying trig identities worksheet

Verifying Trig Identities Worksheet

Objective To do this we generally pick To verify that two expressions the expression on one side of the given are equivalent That is we sin manipulate what we have expression an identity we get the other side Verify the following trigonometric identities cos x sin x tan x sec x csc x sin x csc x sin x sin x csc x Verify each identity. Work on the left side only. Give a reason for each step. 1) cot2 x - tan2 x = csc2 x - sec2 x 2) sin xsec x = tan x cos2 x sin x 3) = csc x sec2 x cos2 x - sin x 4) 1 - csc xtan2 x = cos2 x 5) = csc2 x - 1 tan2 x 6) -cos xcsc x = -cot x Worksheet by Kuta Software LLC

Trigonometric identities worksheet answers

Trigonometric Identities Worksheet Answers

Verifying Trig Identities WorksheetAnswer. Example 6.3.14: Verify a Trigonometric Identity - 2 term denominator. Use algebraic techniques to verify the identity: cosθ 1 + sinθ = 1 − sinθ cosθ. (Hint: Multiply the numerator and denominator on the left side by 1 − sinθ, the conjugate of the denominator.) Verifying Trigonometric Identities Examples THIS IS ONLY ONE WAY TO SOLVE THESE REMEMBER YOU CANNOT CHANGE ONE SIDE YOU HAVE TO MAKE THE OTHER SIDE LOOK THE SAME a Prove the identity tan x cot x sec x csc x 1 b Prove the identity 2cot x csc x 1 sec x 1 sec x cos 1 sin c Prove the identity