Prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α

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asked Aug 18, 2022 4.6k views

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Prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α

Mathematics
high-school

Ela Buwa asked

by Ela Buwa

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Explanation:

hope this helps. ........

Prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α-example-1

Psion answered Aug 22, 2022

by Psion

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Let α be an angle, with 0 ≤ α < 2π. Given cos(2α) = 17/49 and 2α is in quadrant IV, find the exact values of the six trigonometric functions. A) sin(α) = -4/7, cos(α) = -3/7, tan(α) = 4/3, cot(α) = 3/4, sec(α) = -7/3, csc(α) = -7/4 B) sin(α) = -4/7, cos(α) = 3/7, tan(α) = -4/3, cot(α) = -3/4, sec(α) = 7/3, csc(α) = -7/4 C) sin(α) = 4/7, cos(α) = -3/7, tan(α) = -4/3, cot(α) = 3/4, sec(α) = -7/3, csc(α) = 7/4 D) sin(α) = 4/7, cos(α) = 3/7, tan(α) = 4/3, cot(α) = -3/4, sec(α) = 7/3, csc(α) = 7/4

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