Question

EXERCISE 3.2
Find the values of other five trigonometric functions in Exercises 1 to 5.
1
1.
COS X = -
x lies in third quadrant.
2​

Answer 1

Answer:

Write the right Question?

The question is this ,

COS X=-1/2, x lies in third quadrant.

SEC X=-2.

sin^2x+cos^2x= 1

sin^2x= 1- cos^2x

sin^2x= 1-(-1/2)^2

sin^2x= 1-1/4=4-1/4=3/4

sin^2x= 3/4

sinx= +-√3/4 (it means root 3 by 4)

sinx= +-√3/2 (it is because √4=2)

But x lies in third quadrant.

so, sinx= -√3/2 (there will be √ only apon 3 not on 2)

cosecx= -2/√3.

tanx= since/cosx = -√3/2 divides by -1/2

tanx= √3

cotx= 1/tanx = 1/√3.