Calculus questions

Question

Verify each identity.

a) (1−𝑐𝑜𝑠𝜃) / 𝑠𝑖𝑛𝜃=𝑐𝑠𝑐𝜃−𝑐𝑜𝑡𝜃

b) (𝑠𝑒𝑐𝑡−𝑐𝑠𝑐𝑡) / (sect + csct) = tant-1 / (tant + 1)

c) (𝑠𝑖𝑛𝜃 + cos𝜃) / (𝑠𝑖𝑛𝜃 – cos 𝜃) - (𝑠𝑖𝑛𝜃) / (cos𝜃) = 𝑠ec𝜃csc𝜃

Answer 1

a) divide through

b) multiply numerator and denominator of right side by conjuage of denominator

c) do same as in b)