Question

write the function value in terms of the cofunction of a complementary angle.
cos 43°
cos 43° = □(□°)
(simplify your answers. type the cofunction abbreviation in the first input box. type the angle measure in the second input box.)

Explanation:

Step1: Recall the co - function identity

The co - function identity for cosine is \(\cos\theta=\sin(90^{\circ}-\theta)\).

Step2: Substitute \(\theta = 43^{\circ}\) into the identity

Substitute \(\theta = 43^{\circ}\) into \(\cos\theta=\sin(90^{\circ}-\theta)\). Then \(90^{\circ}-\theta=90^{\circ}- 43^{\circ}=47^{\circ}\).

Answer:

\(\cos43^{\circ}=\sin(47^{\circ})\)