Question

Consider this equation.

cos(θ) = 4sqrt41/41


If θ is an angle in quadrant IV, what is the value of sin(θ) ?

Answer 1

Step-by-step explanation: i just take the test

Answer 2

• A. -5√41/41

Explanation:

Let the horizontal leg = 4√41 and the hypotenuse = 41 as

• cosine = adjacent leg / hypotenuse.

Then the vertical leg is:

• √(41² - 16*41) = √25*41 = 5√41

Since the vertical leg is below the x-axis, its value is -5√41

Then we have:

• sin (θ) = -5√41/41

Correct choice is A