Question

if sin tita +cos tita =root two cos tita
then find tan tita who will answer correct i will mark brainliest ​

Answer 1

Answer:

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

Step-by-step explanation:

$\sf{Given\colon\:sin\theta+cos\theta=\sqrt{2}cos\theta}$

$\sf{sin\theta=\sqrt{2}cos\theta-cos\theta}$

$\sf{sin\theta=cos\theta\left(\sqrt{2}-1\right)}$

$\sf{\dfrac{sin\theta}{cos\theta}=\sqrt{2}-1}$

$\sf{we\:know\:that\:\dfrac{sin\theta}{cos\theta}=tan\theta}$

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

Answer 2

❤ANSWER :-

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= sin theta +cos theta =√2cos theta

= sin theta=√2cos theta-cos theta

= sin theta =cos theta(√2-1)

= sin theta /cos theta =√2-1

= tan theta=√2-1

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Thanks!!❤❤