Question

What is the value of cot inverse 2 + tan inverse 1/3

Answer 1

Step-by-step explanation:

Answer:

Let sin−1(−1/2) = y, then

sin y = -1/2 = -sin(π/6) = sin(-π/6)

We know that the range of the principal value branch of sin-1 is [-π/2, π/2]

and sin(−π/6) = -1/2

Hence, the principal value of sin−1(−1/2) = −π/6.