Evaluate the following expression and Prove

Question

Evaluate the following expression: 𝑠𝑖𝑛−1(cos( 4𝜋/3 ))

Prove: 1 + cot(𝑥) = cos(−𝑥) (sec(−𝑥) + csc(𝑥))

Answer 1

cos (-x) sec (-x) + csc (x)

1 + csc (x)

The identity is false.