Question

if sin theta + cos theta =root 2 coso theta ,(theta not equal 90 degree )then the value of tan theta is
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Answer 1

Answer:

tanx=$\sqrt{2} -1$

Step-by-step explanation:

sinx + cosx = $\sqrt{2}$ cosx

sinx =($\sqrt{2} -1$) cosx

$\frac{sinx}{cosx}$ =$\sqrt{2} -1$

tanx =$\sqrt{2} -1$

[theta is taken as x for convenience]