Brainliest! θ lies in quadrant ii . sinθ=4/7 what is the exact value of cosθ in simplified form?

sin theta = 4/7

theta = arcsin (4/7)

cos (arcsin (4/7)

if theta is in the second quadrant cos theta is negative (calculators only give the postive answer)

cos (arcsin (4/7)= - sqrt(33)/7

Choice B

cosθ = - .

Step-by-step explanation:

Given  : sinθ=.

To find : What is the exact value of cosθ in simplified  form .

Solution : We have given sinθ=.

By the trigonometric identity : .

Plug the value of sinθ=.

.

.

Subtracting  from both sides

.

.

.

Taking square root both sides

.

cosθ = ± .

θ lies in Quadrant II so,  cosθ = - .

Therefore, cosθ = - .

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the absolute value function