Solveeit Logo
Login

Question

Question: \(\sec ^ { - 1 } \left[ \sec \left( - 30 ^ { o } \right) \right] =\)...

sec⁡−1[sec⁡(−30o)]=\sec ^ { - 1 } \left[ \sec \left( - 30 ^ { o } \right) \right] =

A

– 60∘60 ^ { \circ }

B

−30∘- 30 ^ { \circ }

C

30∘30 ^ { \circ }

D

150∘150 ^ { \circ }

Answer

30∘30 ^ { \circ }

Explanation

Solution

sec⁡−1[sec⁡(−30∘)]=sec⁡−1(sec⁡30∘)=30∘\sec ^ { - 1 } \left[ \sec \left( - 30 ^ { \circ } \right) \right] = \sec ^ { - 1 } \left( \sec 30 ^ { \circ } \right) = 30 ^ { \circ } .