Use a Sum-to-Product Formula to show the following. sin(130°) − sin(110°) = −sin(10°) Use a Sum-to-Product Formula for Sine and simplify.

Beckett Henry

Beckett Henry

Answered question

2022-09-04

Use a Sum-to-Product Formula to show the following.
sin ( 130 ° ) sin ( 110 ° ) = sin ( 10 ° )
Use a Sum-to-Product Formula for Sine and simplify.

Answer & Explanation

Azul Lang

Azul Lang

Beginner2022-09-05Added 20 answers

sin ( 130 ° ) sin ( 110 ° ) = sin ( 10 ° )
We have sin C sin D = 2 cos ( C + D 2 ) sin ( C D 2 ) 2 cos ( 130 + 110 2 ) sin ( 130 110 2 ) = sin 10 2 cos 240 2 sin 20 2 = sin 10 2 cos 120 sin 10 = sin 10 2 cos ( 180 + 30 ) sin 10 = sin 10 3 sin 10 + sin 10 = 0 sin 10 ( 1 3 ) = 0

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?