Use the fact that sin38°≈0.6157 to answer this question.
cos[blank]°≈0.6157
90º - 38º
the "co-" in the cosine means "complement"
sin(x) = cos(90-x)
same for cot and csc.
To find the angle whose cosine is approximately 0.6157, you can use the fact that the cosine function is the reciprocal of the sine function: cos θ = 1 / sin θ.
Since sin 38° ≈ 0.6157, we can substitute this value to find the angle whose cosine is approximately 0.6157:
cos θ ≈ 0.6157
If we take the reciprocal of both sides of the equation, we get:
1 / cos θ ≈ 1 / 0.6157
Simplifying the right side gives:
1 / cos θ ≈ 1.6263
Now, we can find the angle θ by taking the inverse cosine (also known as arccos) of both sides:
θ ≈ arccos(1.6263)
Using a calculator, we can find the approximate value of the inverse cosine to get:
θ ≈ 49.92°
Therefore, cos 49.92° ≈ 0.6157.