Question

tanx =3/4 find 4cos2x+3sin2x​

Answer 1

Answer:

Divide and multiply the given statement by 5,we get

5(4/5cos x +3/5sin x)

Now,let sin A=4/5 then automatically cos A=3/4. (as sin^2 x +cos^2 x =1)

So, the statement will become

5(sin A cos x +cos A sin)

5 sin(A + x)

Maximum value of sin y can be 1.

Therefore, maximum value of 5 sin(A + x) is 5.

2.3K views

View 2 upvotes

2

Add a comment...

Sponsored by Aditya Birla Health Insurance

Aditya Birla Health Insurance with 5 lac plan @557/month*.

Health insurance plans that help you protect your family & save tax. Day 1 cover, cashless claim.

Get Quote

Igor Belkov (Игорь Бельков)

, studied at Saint-Petersburg State University

Answered Apr 23, 2018