Home
Class 10
MATHS
If acostheta+bsintheta=m and asin theta-...

If acos`theta+bsintheta`=m and asin `theta-bcostheta`=n, prove that `m^(2)+n^(2)=a^(2)+b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
RHS
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 11.1)|8 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 11.2)|14 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAAL PUBLICATION|Exercise TOPIC-2 TRIGONOMETRIC IDENTITIES (LONG ANSWER TYPE QUESTIONS-I)|13 Videos

  • CONSTRUCTIONS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 6.2) |1 Videos

  • KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD (MODEL QUESTION PAPER)

    OSWAAL PUBLICATION|Exercise QUESTION|42 Videos

Similar Questions

Explore conceptually related problems

If acos theta+b sin theta=p and a sin theta-b cos theta=q then

If cosec theta- sin theta = m and sec theta - cos theta = n , prove that: (m^(2)n)^(2/3)+(n^(2)m)^(2/3)=1 .

If acos theta+bsin theta=4 and a sin theta-b cos theta=3 ,then find the value of a^(2)+b^(2)

If a sin^(3) theta + b cos^(3) theta = sin^(3) theta * cos theta and a sin theta - b cos theta=0 , then prove that a^(2)+b^(2)=1 .

x = a sec theta + b tan theta and y= a tan theta + b sec theta. Prove that x^(2)-y^(2) = a^(2)-b^(2) .

Express sinA and sec A in terms of cot A. OR If tan theta+sin theta=m and tan theta-sin theta=n , S.T m^(2)-n^(2)=4sqrt(mn)

If x=r cos theta, y=r sin theta Prove that x^(2)+y^(2)=r^(2)

If x=a ( theta + sin theta)and y=a(1- cos theta), prove that (dy)/(dx) = tan ""(theta//2)