Question

Cot(x)=-3. find sin(x)

Answer 1

Answer:

sin(x)=1/$\sqrt10$

Step-by-step explanation:

The trigonometric identities involve trigonometric functions. Here we will be using Trigonometric identity

sin²x  = 1 /( 1+cot²x )

now cot(x)= -3

⇒ cot²x= (-3)²

⇒ cot²x= 9

sin²x= 1/( 1+9)

⇒ sin²x = 1/10

taking under root on both the sides we get

√sin²x=$\sqrt1$/$\sqrt10$

⇒ sin(x)=± 1/$\sqrt10$