Solve the trigonometric equation for .
Answer and explanation
Correct answer: D.
.
.
For : and .
For : .
Therefore, .
.
For : and .
For : .
Therefore, .
- Step 1: Replace with using the Pythagorean identity :
- Step 2: Factor the quadratic equation in terms of :
- Step 3: Determine all angles in the interval :
Answer
.
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