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 = - .

-18

step-by-step explanation:

because mean value defines that total sum value over total number of set

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.