Find the value for sin(θ) if the following conditions hold: cos(2 theta) = 3/4 and 270 degrees

sin(θ) = - 0.35355

Step-by-step explanation:

The second condition is

270 degrees<theta<360 degrees

cos(2*theta) = 3/4  

And we know the relation

cos(2*θ)=1-2sin^2(θ)

This means that,

sin^2(θ) = 0.5*(1-cos(2*θ))

sin(θ) = ± √(0.5*(1-cos(2*θ)))

sin(θ) = ± √ (0.125)

sin(θ) = ± 0.35355

But we are in the 4th quadrant.

This means that the sine is negative.

sin(θ) = - 0.35355

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

whats the question?

step-by-step explanation: