Question

If sin theta+ cos theta =root 2 cos theta, (theta not =90°), then value of
tan theta is :
(a) root 2-1
(b) root 2 + 1
(c) root 2
(d) - root 2

Answer 1

Answer:

a)

$\sqrt{2} - 1$

Step-by-step explanation:

THERE WILL NOT BE ANY THETA IN THIS SOLUTION ONLY FOR SIMPLICITY , YOU HAVE TO USE THETA EVERYWHERE.

sin + cos = ROOT 2 cos

sin = root2 cos - cos

sin= cos(root2 -1) (TAKING COMMON)

$sin \div cos = \sqrt{2} - 1 \\ \\ tan = \sqrt{2} - 1$

Since sin/cos = tan