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3241004551 [841]
2 years ago
12

If 0° < θ < 90° or 180° < θ < 270°, explain why sin 2θ is always positive.

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
8 0

Using a trigonometric identity, since in the first quadrant and in the third quadrant the sine and the cosine have the same sign, \sin{2\theta} is always positive.

<h3>What is the trigonometric identity for sin 2θ?</h3>

It is given by:

\sin{2\theta} = 2\sin{\theta}\cos{\theta}

In the first quadrant(0° < θ < 90°) and in the third(180° < θ < 270°), the sine and the cosine have the same sign, hence the multiplication is positive and \sin{2\theta} is always positive.

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

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