# FIND THE VALUE OF TRIGONOMETRIC FUNCTIONS LIES IN QUADRANT WORKSHEET

Problem 1:

Find sin θ if cos θ = 2/3, 0 < θ < π/2

Solution

Problem 2 :

Find cos θ, if sin θ = 2/5, π/2 < θ < π

Solution

Problem 3 :

Find cos θ if sin θ = -3/5, 3π/2 < θ < 2π

Solution

Problem 4 :

Find sin θ if cos θ = -5/13, π < θ < 3π/2

Solution

Problem 5 :

if sin x = 1/3 and π/2 < x < π, find tan x in radical (surd) form.

Solution

Problem 6 :

if cos x = 1/5 and 3π/2 < x < 2π, find tan x in radical (surd) form.

Solution

Problem 7 :

if sin x = -1/√3 and π < x < 3π/2, find tan x in radical (surd) form.

Solution

Problem 8 :

if cos x = -3/4 and π/2 < x < π, find tan x in radical (surd) form.

Solution

Problem 9 :

Find sin x and cos x given that:

tan x = 2/3 and 0 < x < π/2

Solution

Problem 10 :

tan x = -4/3 and π/2 < x < π

Solution

Problem 11 :

tan x = √5/3 and π < x < 3π/2

Solution

Problem 12 :

tan x = -12/5 and 3π/2 < x < 2π

Solution

1)  sin θ = √5/3

2)  cos θ = -√21/5

3)  cos θ = 4/5

4)  sin θ = -12/13

6)  tan x = -1/2√2

7)  tan x = 1/√2

8)  tan x = -√7/3

9)  sin θ = 2/√13 and cos θ = 3/√13

10)  sin θ = 4/5 and cos θ = -3/5

11)  sin θ = -√5/√14 and cos θ = -3/√14

12)  sin θ = -12/13 and cos θ = 5/13

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