Question

For an acute angle θ, the equation sin(θ)=cos(6) is true. What is the value of θ? Show or explain your answer

Answer 1

Answer:

$\theta= 84$

Step-by-step explanation:

Given

$\sin(\theta) = \cos(6)$

Required

Find $\theta$

In trigonometry,

If $\sin(\theta) = \cos(\alpha)$, then

$\theta + \alpha = 90$

So, in this case:

$\theta + 6= 90$

Subtract 6 from both sides

$\theta + 6-6= 90-6$

$\theta= 90-6$

$\theta= 84$

Hence, the value of $\theta$ is 84 degrees