Question

Write the expression as the sine, cosine, or tangent of an angle. (6 points) cos 94° cos 37° + sin 94° sin 37°

Answer 1

Answer:

$cos57 = 0.5446$

$sin57 = 0.8387$

$tan57 = 1.5399$

Step-by-step explanation:

Given

$cos 94\° cos 37\° + sin 94\° sin 37\°$

Required

Determine the

- sin

- cosine

- tangent

of an angle

The given expression can be represented as follows;

$cosAcosB + sinAsinB$

Where A = 94 and B = 37

In trigonometry:

$cosAcosB + sinAsinB = cos(A - B)$

Substitute 94 for A and 37 for B

$cos(A - B) = cos(94 - 37)$

$cos(A - B) = cos(57)$

Hence, the angle is 57;

Since 57 is not a special angle; I'll solve using a calculator

$cos57 = 0.5446$

$sin57 = 0.8387$

$tan57 = 1.5399$