Inverse Trigonometric Functions
Compound Angles
Premium Question
Grade 12
Question:
If $\sin^{-1} \frac{3}{5} + \cos^{-1} \frac{12}{13} = \alpha$, find $65 \sin \alpha$.
Step-by-Step Solution
Key Concept: Use right triangles for both terms to find all needed $\sin$ and $\cos$ values. Then apply $\sin(A + B) = \sin A \cos B + \cos A \sin B$.
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Correct Answer: 56