Question

if sintheta + costheta = root 2 costheta then find the value of tantheta
.
.
.
Plzz answer this
I WILL MARK YOU AS BRAINLIEST ​

Answer 1

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

Step-by-step explanation:

$sin\theta+cos\theta=\sqrt 2cos\theta$

$sin\theta=\sqrt 2cos\theta-cos\theta$

By using subtraction  property of equality

$sin\theta=cos\theta(\sqrt 2-1)$

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

By using division property of equality

We know that

$tan\theta=\frac{sin\theta}{cos\theta}$

By the formula

$tan\theta=\sqrt 2-1$

Hence, the value of

$tan\theta=\sqrt 2-1$

#Learns more:

https://brainly.in/question/2537281:Answered by brainly user