Answer:
- 5 41 /41
it is A
Step-by-step explanation:
This is the answer for plato users, I took the test btw
The value of sin(θ) is -5√41/41 because sin is negative in the fourth quadrant option (A) -5√41/41 is correct.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
cos(θ) = 4√41/41
As we know cos is the ratio of the side adjacent to the angle to the hypotenuse.
cos(θ) = adjacent/hypotenuse
From the Pythagoras theorem:
hypotenuse² = opposite² + adjacent²
41² = opposite² + (4√41)²
After calculating:
opposite = √1025
opposite = -5√41 (because sin is negative in the fourth quadrant)
sin is the ratio of the opposite to hypotenuse:
sin(θ) = -5√41/41
Thus, the value of sin(θ) is -5√41/41 because sin is negative in the fourth quadrant option (A) -5√41/41 is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
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