SOLUTION: Good morning: I am trying to help my son with the following problem as he has an exam later today and we have been working in solving the following problem: Solve algebraical

Question 932052: Good morning:
I am trying to help my son with the following problem as he has an exam later today and we have been working in solving the following problem:
Solve algebraically for θ in the first quadrant: (cosθ)^2 = sinθ -.02
Thank you.
Caroline
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use a substitution,
.
Then,

Now use another substitution,

Quadratic equation, you can solve by quadratic formula or completing the square.

So then,

Since , then the value, is not allowed since it is outside of this range.
.
.
.

and .
Both are in units of degrees.

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