Home
Class 10
MATHS
If 7 sin^(2) A + 3 cos^(2) A = 4, show t...

If `7 sin^(2) A + 3 cos^(2) A = 4`, show that `tan A = (1)/(sqrt(3))`.

Promotional Banner

Topper's Solved these Questions

  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( LONG - ANSWER (LA) TYPE - QUESTIONS)|12 Videos
  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOTS (HIGHER ORDER THINKING SKILLS) - QUESTIONS)|5 Videos
  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER (SA) TYPE - 1 - QUESTIONS)|12 Videos
  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HIGHER ORDER THINKING SKILLS)|7 Videos

Similar Questions

Explore conceptually related problems

If 7sin^(2)theta +3cos^(2)theta = 4 and 'theta' is acute show that cot theta = sqrt(3) .

If sin A + sin^(2)A + sin^(3)A =1 , then , prove that cos^(6) A - 4 cos^(4) A + 8 cos^(2) A =4 .

If tan A = n tan B and sin A = m sin B , show that cos^(2)A= (m^(2)-1)/(n^(2)-1) .

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

cos[2 sin^(-1) 3/4 + cos^(-1)3/4]

If int (sinx)/(sin^(2)x+4cos^(2)x)dx=-(1)/(sqrt(3))tan^(-1)((sqrt(3))/f(x))+c ,then f(x) equals :

Prove thet sin^(2) (pi//6) + cos^(2) (pi//3)- tan^(2) (pi//4) = (-1)/(2)

Solve the equation , sqrt(3) sin 2A = sin 2B and sqrt(3)sin^(2)A + sin^(2)B=(1)/(2)(sqrt(3)-1) .

If sin A = cos A , find the value of 2tan^(2)A + sin^(2)A +1 .