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

`cos57 = 0.5446`

`sin57 = 0.8387`

`tan57 = 1.5399`

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`