Question

Determine cos(F) and cos(E).

Group of answer choices

cosine F equals 40 over 41 comma cosine E equals 9 over 41

cosine F equals 9 over 40 comma cosine E equals 40 over 9

cosine F equals 40 over 9 comma cosine E equals 9 over 40

cosine F equals 9 over 41 comma cosine E equals 40 over 41

Answer 1

cosine F equals 40 over 9 comma cosine E equals 9 over 40

Explanation:

Answer 2

We want to prove that the sine of an angle equals the cosine of its complement.

\sin(\theta) = \cos(90^\circ-\theta)sin(θ)=cos(90

∘

−θ)sine, left parenthesis, theta, right parenthesis, equals, cosine, left parenthesis, 90, degrees, minus, theta, right parenthesis

[I'm skeptical. Please show me an example.]

Let's start with a right triangle. Notice how the acute angles are complementary, sum to 90^\circ

∘

degrees.

Step-by-step explanation: cosine F equals 40 over 9 comma cosine E equals 9 over 40