Register
Prove this trigonometric identity sin ​3x/sin x - cos 3x/cos x =2
10.1k views
0 votes
Prove this trigonometric identity
sin ​3x/sin x - cos 3x/cos x =2

User Paulo Janeiro
by
7.9k points

1 Answer

4 votes

Explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

=sin3xcosx- cos3xsinx

sinxcosx

=sin(3x-x)

sinxcosx

= 2sin2x

2sinxcosx

= 2sin2x

sin2x

=2

= RHS.

Proved.

User Iamkeir
by
7.3k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Link Copied!