Question

Given that sin + 2cos = 1, then prove that 2sin cos = 2

Answer 1

Answer:

Question is wrong...

Question should be sin + 2cos = 1 then prove that 2sin-cos = 2

As sin + 2cos = 1

By squaring

sin² + 4cos² + 4 *sin * cos =1

(1-cos²) + 4* (1- sin²) + 4* sin * cos = 1

1 - cos² + 4 - 4* sin² + 4* sin * cos = 1

By multiplying both sides by -1, we get

cos² - 4 + 4* sin² - 4 * sin * cos = 0

cos² + 4* sin² - 4* sin * cos = 4

(2 * sin - cos )² = (2)²

Square root both the side

Therefore 2sin - cos = 2

(proved

Step-by-step explanation: