Write the trigonometric expression in terms of sine and cosine, and then simplify.

tan θ / (sec θ - cos θ)

Question

Daniel Padilla

2 May, 18:47

+2

Answers (1)

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Zayne Reynolds · Answer 1

Hello,

tan t / (sec t - cos t) = sin t / (cos t * (1/cos t - cos t))

=sin t / (cos t * (1-cos ²t) / cos t))

=sin t/sin² t=1/sin t [or=cosec t.]

Write the trigonometric expression in terms of sine and cosine, and then simplify.tan θ / (sec θ - cos θ)