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3 years ago

14

(1-sin^ 2 theta)(tan theta)=?

1 answer:

Darina [25.2K]3 years ago

4 0

Answer:

<em>sin 2theta/2</em>

Step-by-step explanation:

(1-sin^ 2 theta)(tan theta)

Recall in trig identity that

sin^2 theta + cos^2 theta = 1

cos^2 theta = 1-sin^ 2 theta

Also tan theta = sin theta/cos theta

Substitute

(1-sin^ 2 theta)(tan theta)

=cos^2 theta * sin theta/cos theta

= costheta sin theta

Since sin2 theta = 2sintheta cos theta

<em>sintheta cos theta = sin 2theta/2</em>

<em></em>

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