CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Trigonometric Ratios of Compound Angles

cos 4 x=1-8 s...

Question

cos 4x = 1 – 8sin²x cos²x

Open in App

Solution

L.H.S. = cos 4x

= cos 2(2x)

= 1 – 2 sin² 2x

= 1 – 2(2 sin x cos x)²

= 1 – 8 sin²x cos²x

= R.H.S.

Suggest Corrections

thumbs-up

2

Similar questions

cos 4 x = 1 - 8 {sin}^{2} x {cos}^{2} x

c o s 4 x = 1 - 8 s i n^{2} x c o s^{2} x

Q. Prove the following:

c o s 4 x = 1 - 8 s i n^{2} x c o s^{2} x

\int \frac{cos 4 x + 1}{cot x - tan x} d x =

4 {sin}^{4} x + {cos}^{4} x = 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Compound Angles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Trigonometric Ratios of Compound Angles

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon