Home
Class 10
MATHS
If (2sin theta + 3 cos theta) =2, prove ...

If `(2sin theta + 3 cos theta) =2`, prove that `(3 sin theta - 2 cos theta ) = pm 3.`

Text Solution

AI Generated Solution

To prove that if \(2 \sin \theta + 3 \cos \theta = 2\), then \(3 \sin \theta - 2 \cos \theta = \pm 3\), we will follow these steps: ### Step 1: Start with the given equation We have the equation: \[ 2 \sin \theta + 3 \cos \theta = 2 \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13C|40 Videos
  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|53 Videos
  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13A|38 Videos
  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos
  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

If (3 sin theta + 5 cos theta ) = 5, prove that (5 sin theta - 3 cos theta ) = pm 3.

If a cos theta - b sin theta = c, prove that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2)) .

if 3sin theta+5cos theta=5 then prove that 5sin theta-3cos theta=|3|

2 cos (theta - pi //2) + 3 sin (theta + pi//2) - (3sin theta + 2 cos theta ) = ? A. cos theta - sin theta B. sin theta - cos theta C. sin theta + cos theta D. cot theta - tan theta .

If 3 sin theta=2 cos theta , then 3 sin theta=2 cos theta , then (4 sin theta-cos theta)/(4 cos theta+sin theta) is equal to: यदि 3 sin theta=2 cos theta है, तो 3 sin theta=2 cos theta , then (4 sin theta-cos theta)/(4 cos theta+sin theta) का मान क्या होगा ?

If 2 - cos^(2) theta = 3 sin theta cos theta , sin theta ne cos theta then tan theta is

(sin3 theta-sin theta * sin ^ (2) (2 theta)) / (sin theta + sin2 theta * cos theta) = cos x rarr x =

The expression cos 3 theta + sin 3 theta + (2 sin 2 theta-3) (sin theta- cos theta) is positive for all theta in

(sin5 theta-2sin3 theta + sin theta) / (cos5 theta-cos theta) = tan theta