MyQuestionIcon

1

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

Implicit Differentiation

47. Prove tha...

Question

47. Prove that cosθ .cos(θ /2) - cos3θ .cos(9θ /2) = sin7θ .sin8θ

Open in App

Solution

Suggest Corrections

thumbs-up

9

Similar questions

(cos θ + sin θ)^{2} + (cos θ - sin θ)^{2} = 2

\frac{cos 5 x + cos 4 x}{2 cos 3 x - 1} = cos x + cos 2 x

cos 2 x cos \frac{x}{2} - cos 3 x cos \frac{9 x}{2} = sin 5 x sin \frac{5 x}{2}

cos θ + sec θ = - 2, θ \in [0, 2 π],

{sin}^{8} θ + {cos}^{8} θ

s i n x + s i n y = 2 s i n \frac{x + y}{2} c o s \frac{x - y}{2}

and hence show that

\frac{s i n x + s i n 3 x}{c o s x + c o s 3 x} = t a n 2 x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Implicit Differentiation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Implicit Differentiation

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon