Question

Cos(16°) = a sin(58°) = ?

Answer 1

$Cos16^\circ=a\\\\Sin58^\circ=Sin(90^\circ-32^\circ)=Cos32^\circ=2Cos^{2}16^\circ-1=\boxed{2a^{2} -1}$

Answer 2

To find the values of a when cos(16°) = a and sin(58°) = a, you can use trigonometric functions and a calculator.

1. cos(16°) = a: Use your calculator to find the cosine of 16 degrees: cos(16°) ≈ 0.9612617 So, a ≈ 0.9612617 for this case.

2. sin(58°) = a: Use your calculator to find the sine of 58 degrees: sin(58°) ≈ 0.8571673 So, a ≈ 0.8571673 for this case.

The values of a are approximately:

• For cos(16°) = a, a ≈ 0.9612617.
• For sin(58°) = a, a ≈ 0.8571673.