Question

URGENT! PLZ HELP!!!!

Without using a calculator, evaluate
sin 32° /1 + tan 45° x 6 /cos 58°

You must explain how you arrived at your answer without a calculator.

Answer 1

3.

Explanation:

sin 32 / (1 + tan 45) * 6 / cos 58

= sin 32 / 2 * 6 / cos 58 ( since tan 45 = 1)

= 3 sin 32 / cos 58

Note sine 32 = cos (90 - 32) = cos 58, so we have:

= 3 sin 32 / sin 32

= 3.