Question

Match each description with the given angles. You may use each angle more than once, or not at all.tan(θ)>0 and sin(θ)<0 Angle A  Angle B  Angle C  Angle D tan(θ)>0 and cos(θ)>0 Angle A  Angle B  Angle C  Angle D sin(θ)>0 and cos(θ)<0 Angle A  Angle B  Angle C  Angle D tan(θ)>0 and sin(θ)>0 Angle A  Angle B  Angle C  Angle D tan(θ)<0 and cos(θ)>0 Angle A  Angle B  Angle C  Angle D

Answer 1

In the 1st quadrant:

sin x > 0, cos x > 0, tan x > 0

In the 2nd quadrant

sin x > 0, cos x < 0, tan x < 0

In the 3rd quadrant

tan x > 0, sin x < 0, cos x < 0

In the 4th quadrant

cos x > 0, sin x < 0, tan x < 0

In the first one

tan is > 0 and sin < 0

Then the angle should be in the 3rd quadrant

The answer is Angle C

In the second one

tan > 0 and cos > 0

Then the angle should be in the 1st quadrant

The answer is Angle A

In the third one

sin > 0 and cos < 0

Then the angle should be in the 2nd quadrant

The answer is Angle B

In the fourth one

tan > 0 and sin > 0

Then the angle should be in the 1st quadrant

The answer is Angle A

In the last one

tan < 0 and cos > 0

Then the angle should be in the 4th quadrant

The answer is Angle D