Question

Find cos θ if csc θ = 2 and θ is in quadrant II.

Answer 1

OK so...

Sin θ = 1/Csc θ so it would be 1/2 which is O/H?

So the mesurements can be calculated using x^2 + y^2 = r^2?

Answer 2

θ=60

Answer 3

as......... if ....secθ=2

hence ...1/cosθ=2

cosθ=1/2

sin(90+θ)=1/2

Answer 4

hence .......θ=60

Answer 5

csc = 1/sin

--> 1/sin = 2

--> sin = 1/2

cos^2 = 1-sin^2
cos^2 = 1-(1/2)^2
cos^2 = 3/4
cos = sqrt3/2

Answer 6

thought since sin would = 1/2 and csc = 2 then wouldn't it be 30?

Answer 7

no theta = 150 since in quad 2

Answer 8

of it's cosec θ then dumbcow is right

Answer 9

yea sqrt(3)/2

Answer 10

would it be negative since it's in the II quadrant?

and only thing positive in II quadrant is Sin and CSC?

Answer 11

sry fakshon ...i consideed it as sec θ

Answer 12

correct, cos would be negative :)

Answer 13

@shivamsinha
it happens :)

Answer 14

yep yep it's all good.

Answer 15

thanks for the help.