Question

find the angle theta in cos theta = sin theta if 0° lesser than theta lesser than 90°
Please,please kindly help me to solve this problem.
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Answer 1

Answer pi/4

Step-by-step explanation:

As cos(45)=sin(45)

(BY POWER OF OBSERVATION)

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Answer 2

Hey friend!


Here is your answer;

To find $\theta$ if $sin \theta = cos \theta$

We know for any $\theta$ more than 0 degrees and less than 90 degrees that:

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

But cos $\theta$ = sin $\theta$

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

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

=> $2 \theta$ = 90

=> $\theta$ = 45


Therefore theta = 45 degrees


I hope it helps you