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Question: The value of \(\sin ^ { - 1 } \left( \frac { \sqrt { 3 } } { 2 } \right) - \sin ^ { - 1 } \left( \fr...

The value of sin⁡−1(32)−sin⁡−1(12)\sin ^ { - 1 } \left( \frac { \sqrt { 3 } } { 2 } \right) - \sin ^ { - 1 } \left( \frac { 1 } { 2 } \right)is.

A

45°

B

90°

C

15°

D

30°

Answer

30°

Explanation

Solution

sin⁡−1[32]−sin⁡−1[12]=60∘−30∘=30∘\sin ^ { - 1 } \left[ \frac { \sqrt { 3 } } { 2 } \right] - \sin ^ { - 1 } \left[ \frac { 1 } { 2 } \right] = 60 ^ { \circ } - 30 ^ { \circ } = 30 ^ { \circ } .