Register

(COSA-SINA)²= 1-2sinA. COSA ​

(COSA-SINA)²= 1-2sinA. COSA ​
asked 9.0k views
4 votes
(COSA-SINA)²=
1-2sinA. COSA
​

asked
User Xis
by
7.7k points

1 Answer

6 votes

Answer:

see explanation

Explanation:

using the identity

sin²x + cos²x = 1

consider left side

(cosA - sinA)²

= (cosA - sinA)(cosA - sinA) ← expand using FOIL

= cos²A - sinAcosA - sinAcosA + sin²A

= cos²A + sin²A - 2sinAcosA

= 1 - 2sinAcosA

= right side

answered
User Zoom
by
8.2k points
← Prev Question Next Question →

Related questions

User Savior
asked Jan 24, 2024 155k views
If cosA + √3 sin A = 2sinA. then prove that sinA - √3 cosA= 2 cosA
Savior asked Jan 24, 2024
by Savior
8.0k points
2 answers
4 votes
155k views
Ask a Question
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.

Categories

Other Questions

How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Link Copied!