Home
Class 10
MATHS
If x cos A + y sin A = m and x sin A -...

If
`x cos A + y sin A = m and x sin A - y cos A = n,`
then prove that :
`x^(2) + y^(2) = m^(2) + n^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise EXERCISE 21 (C)|34 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise EXERCISE 21 (D)|22 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos
  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos

Similar Questions

Explore conceptually related problems

If x = r sin A cos B, y = r sin A sin B and z = r cos A, then prove that : x^(2) + y^(2) + z^(2) = r^(2)

If y= A sin x+ B cos x , then prove that (d^2y)/(dx^2)+y=0 .

If sin A + sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+y^(2)-3)=

If cos A+sin B=m and sin A+cos B=n , prove that 2sin(A+B)=m^2+n^2-2.

If sin x + sin y = 1/2 and cos x + cos y = 1 then tan (x + y)

If y = e^(x) (sin x + cos x ) , prove that (d^(2) y)/( dx^(2)) - 2 (dy)/( dx) + 2 y = 0

If x/a cos theta + y/b sin theta = 1 , x/a sin theta - y/b cos theta = 1 then x^2/a^2 + y^2/b^2 =

If x = a cos theta + b sin theta and y =asin theta-b cos theta , then prove that y^2 (d^2y)/(dx^2)-x(dy)/(dx)+y=0

If x sin alpha = y cos alpha, prove that : x/(sec 2alpha) + y/(cosec 2 alpha) = x

If the line y cos alpha = x sin alpha +a cos alpha be a tangent to the circle x^(2)+y^(2)=a^(2) , then