Question

sin alpha equals to cos alpha then value of alpha is​

Answer 1

Answer:

thanks g to the questions below together with a or n used to

Answer 2

SOLUTION

GIVEN

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

TO DETERMINE

The value of α

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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