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Consider this equation.
cos(θ) = 4sqrt41/41


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

Consider This Equation Cosθ 4sqrt4141 If Θ Is An Angle In Quadrant IV What Is The Value Of Sinθ class=

Sagot :

mhanifa

Answer:

  • A.  -5√41/41

Step-by-step 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

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