prove without a calculator that if tan &#x2061;<!-- ⁡ --> ( p ) = 1 and

Timiavawsw9

Timiavawsw9

Answered question

2022-05-23

prove without a calculator that if tan ( p ) = 1 and tan ( q ) = 2 then
sin ( p + q ) cos ( p ) cos ( q ) = 3

Answer & Explanation

Alessandra Weeks

Alessandra Weeks

Beginner2022-05-24Added 5 answers

(1) sin ( p + q ) cos ( p ) cos ( q ) = sin ( p ) cos ( q ) + sin ( q ) cos ( p ) cos ( p ) cos ( q ) = tan ( p ) + tan ( q )
Since tan ( p ) = 1 and tan ( q ) = 2, we find the result in (1) to be 3, as was to be shown.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?