Question

if sin alpha = cos alpha, then the value of Alpha is​

Answer 1

Answer:

alpha=45 degree (pi/4 radian)

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

$\displaystyle \sf{ \sin \alpha = \cos \alpha }$

TO DETERMINE

$\displaystyle \sf{The \: value \: of \: \alpha }$

EVALUATION

Here it is given that

$\displaystyle \sf{ \sin \alpha = \cos \alpha }$

$\displaystyle \sf{ \implies \: \frac{\sin \alpha}{\cos \alpha} \: = 1 }$

$\displaystyle \sf{ \implies \tan \alpha = 1 }$

$\displaystyle \sf{ \implies \tan \alpha = \tan {45}^{ \circ} }$

$\displaystyle \sf{ \implies \alpha = {45}^{ \circ} }$

FINAL ANSWER

$\displaystyle \sf{ \alpha = {45}^{ \circ} }$

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