Question

For an acute angle 0, the equation sin(0) = cos(6) is true. What is the value of ? Show or explain your answer

Answer 1

`\theta =84`

Explanation:

Given

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

Required

Find
`\thata`
`\theta`

In trigonometry:

If sin(A) = cos(B), then

`A + B = 90`

So, we have:

`\theta + 6 = 90`

Collect Like Terms

`\theta + 6 -6= 90-6`

`\theta = 90-6`

`\theta =84`