Considering only the values of θfor which sec²θ cos (2θ ) is defined, sec²θ cos (2θ )= ? Select the correct answer below: A. 2sin^2θ -tan²θ B. csc²θ -2 C. 2-sec²θ D. 2cot θ

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Netzpurist · Answer 1 · 2024-06-13T19:46:35+0000

Answer:

C

Explanation:

using the trigonometric identities

• secθ =
(1)/(cos0)

• cos2θ = 2cos²θ - 1

given

sec²θ cos2θ

=
(1)/(cos^20) ( 2cos²θ - 1 ) ← distribute parenthesis by

= 2 -
(1)/(cos^20)

= 2 - sec²θ → C

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Considering only the values of θfor which sec²θ cos (2θ ) is defined, sec²θ cos (2θ )= ? Select the correct answer below: A. 2sin^2θ -tan²θ B. csc²θ -2 C. 2-sec²θ D. 2cot θ

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