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TS EAMCET · Maths · Trigonometric Ratios & Identities

If 2sinα1+cosα+sinα=x, then 1-cosα-sinαcosα=

  1. A 1x
  2. B -x
  3. C 1-x
  4. D 1+x
Verified Solution

Answer & Solution

Correct Answer

(B) -x

Step-by-step Solution

Detailed explanation

We have 2sinα1+cosα+sinα=x. ⇒2sinα1+cosα+sinα×1-cosα+sinα1-cosα+sinα=x ⇒2sinα1-cosα-sinα12-cosα+sinα2=x ⇒2sinα1-cosα-sinα1-cos2α+sin2α+2cosαsinα=x…