Question

sin theta + cos theta equal to under root 2 cos theta where theta is not equal to 90 degree then find the value of tan theta ​

Answer 1

Answer:

hope this may help you.....

Answer 2

The value of $\tan\theta= \sqrt{2}-1$

Step-by-step explanation:

here given

$\sin\theta +\cos\theta = \sqrt{2}\cos\theta \\\\\sin\theta = \sqrt{2}\cos\theta - \cos\theta\\\\\sin\theta =\cos\theta ( \sqrt{2}-1)\\\\\text{we know that}\\\\\tan\theta = \frac{\sin\theta}{\cos\theta}\\\\\tan\theta =\frac{\cos\theta ( \sqrt{2}-1)}{\cos\theta}$

cancelling cos theta

$\tan\theta= \sqrt{2}-1$

hence , The value of $\tan\theta= \sqrt{2}-1$

#Learn more:

Prove that

Cos³theta + sin³theta / cos theta + sin theta + cos³theta-sin³theta/ cos theta - sin theta =2​

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