Home
Class 10
MATHS
If cos theta-sin theta=sqrt(2)cos theta,...

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

Answer

Step by step text solution for If cos theta-sin theta=sqrt(2)cos theta, then prove that cos theta+sin theta=pm sqrt(2) sin theta. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos
  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos
  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If cos theta - sin theta = sqrt2 sin theta , then show that cos theta+sin theta = sqrt2 cos theta .

If cos theta+sin theta = sqrt2 cos theta , then show cos theta-sin theta = sqrt2 sin theta .

If cos theta + sin theta = sqrt2 cos theta , then cos theta - sin theta is___

If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

If sin theta+ sin^(2)theta=1 , then prove that cos^(2) theta+cos^(4) theta=1.

If (sin theta + cos theta )=sqrt(2) cos theta , show that cot theta =(sqrt(2)+1).

If sin theta+ sin^2 theta = 1 , prove that cos^2 theta+ cos^4 theta = 1 .

sin4theta cos 2theta = cos5theta sin theta

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

If a cos theta+b sin theta = c then show that a sin theta- b cos theta= +- sqrt(a^2+b^2-c^2)