Question

f(x) = tan-¹ [In(sin(15x² - 30)]​

Answer 1

Answer:

ANSWER

Given that ,f(x)=tan

−1

x ….(1)

Put x=y in equation (1) we get

f(y)=tan

−1

y ….(2)

Add equation (1) and (2)

f(x)+f(y)=tan

−1

x+tan

−1

y

Using inverse trigonometry properties, we get

tan

−1

x+tan

−1

y =tan

−1

(

1−xy

x+y

)

This is the answer