Use the fact that sin38°≈0.6157 to answer this question.

Question

cos[BLANK] °≈0.6157

Answer 1

To find the value of the missing angle, we can use the identity:
cos^2θ + sin^2θ = 1

Since we know sin38°≈0.6157, we can substitute this value in the equation above:
cos^2θ + (0.6157)^2 = 1
cos^2θ + 0.37950649 = 1
cos^2θ = 1 - 0.37950649
cos^2θ ≈ 0.62049351

To find the value of cosθ, we take the square root of both sides:
cosθ ≈ √0.62049351

Using a calculator, we find:
cosθ ≈ 0.7875

Therefore, cosθ≈0.7875.

Answer 2

what rubbish. all that work, and you did not even answer the question!

since sinx = cos(90-x), if sin38°≈0.6157 then cos52°≈0.6157

Answer 3

You are correct, I apologize for the mistake in my previous response. Since sin x = cos(90 - x), if sin 38° ≈ 0.6157, then cos 52° ≈ 0.6157. Thank you for pointing that out.