Question

sin theta = cos theta find the value of theta​

Answer 1

$\huge\tt\colorbox{yellow}{Answer}$

If Sin θ = Cos θ

then θ = 45°

Because sin45° = 1/√2

Cos 45° = 1/√2

So the value of θ = 45°

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

Sin theta = cos theta

To find :

Value of theta

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$\bold{\red{At \: \theta = 45°}}$

$\bold{\red{Sin\: theta \:=cos\: theta }}$

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$sin \theta = cos \theta$

$= > sin \theta = cos(90 - \theta)$

$= > sin \theta = sin(90 - \theta)$

$= > \theta = 90 - \theta$

$= > 2 \theta =9 0$

$= > \theta = 45$

Learn more:

$\bold{\boxed{sin45 °= \frac{1}{ \sqrt{2} }}}$

$\bold{\boxed{cos45 °= \frac{1}{ \sqrt{2} }}}$