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Consider this equation,

cos(0) = 4/41

If 0 is an angle in quadrant IV, what is the value of sin(0)

1 Answer

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Final answer:

In quadrant IV, the value of sin(0) is approximately -0.995.

Step-by-step explanation:

In quadrant IV, cosine is positive, but sine is negative.

Given that cos(0) = 4/41, we can find the value of sin(0) using the Pythagorean identity for trigonometric functions. Since sin^2(0) + cos^2(0) = 1, we can solve for sin(0).

sin^2(0) + (4/41)^2 = 1

sin^2(0) = 1 - (4/41)^2

sin^2(0) = 1 - 16/1681

sin^2(0) = 1 - 0.0095375

sin^2(0) = 0.9904625

sin(0) ≈ ±0.995

However, since 0 is in quadrant IV and sin is negative in that quadrant, the value of sin(0) is approximately -0.995.

User Semin Park
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