Home
Class 12
MATHS
sin7x.cos 3x...

sin7x.cos 3x

Text Solution

AI Generated Solution

To solve the integral of \( \sin(7x) \cos(3x) \) with respect to \( x \), we can use the product-to-sum identities. Here’s a step-by-step solution: ### Step 1: Use the Product-to-Sum Identity We can use the identity: \[ \sin A \cos B = \frac{1}{2} [\sin(A + B) + \sin(A - B)] \] In our case, let \( A = 7x \) and \( B = 3x \). Therefore, we have: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|6 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Example For Practice|128 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos

  • LINE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple choice question|9 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of sin5x cos 3x = sin9x cos7x

prove that sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

Prove that : sin x+sin3x+sin5x+sin7x=4cos x cos2x sin4x

Prove : (sin 7x +sin 3x)/(cos 7x+cos 3x) = tan 5x

The fundamental period of (sin x+sin3x+sin5x+sin7x)/(cos x+cos3x+cos5x+cos7x) is (pi)/(k) then k=

The function f(x) given by f(x)=(sin 8x cos x-sin6x cos 3x)/(cos x cos2x-sin3x sin 4x) , is

What is the value of (sin^(3) x + cos^(3) x)/( sin x + cos x) + sin x cos x ?

The least value of the expression y=(1)/((3sin^(2)x + 3 sin x cos x + 7 cos ^(2)x)) is equal to

Period of function f(x)=(sin7x+sin3x)/(cos7x+cos3x) is

The minimum value of (7)/(4sin x+3cos x+2) is