Question

If sin (theta + 24) = cos theta where (theta + 24) is an acute angle find theta

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

It is given that $sin({\theta}+24)=cos{\theta}$ where $({\theta}+24)$ is an acute angle.

Solving the above given equation, we get

$sin({\theta}+24)=cos{\theta}$

$cos(90-{\theta}-24)=cos{\theta}$

$cos(66-{\theta})=cos{\theta}$

Comparing the LHS and RHS of the above equation, we  get

$66-{\theta}={\theta}$

$66=2{\theta}$

$33={\theta}$

Therefore, the value of ${\theta}$ will be 33.