Home
Class 10
MATHS
Prove the following identities, 0^(@) le...

Prove the following identities, `0^(@) le theta le 90^(@)`.
(x) `(1+tan^(2)A)/(1+cot^(2)A) = ((1- tanA)/(1- cot A))^(2) = tan^(2)A`

Promotional Banner

Topper's Solved these Questions

  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (MULTIPLE - CHOICE QUESTIONS)|13 Videos
  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (VERY SHORT ANSWER (VSA) - QUESTIONS)|14 Videos
  • AN INTRODUCTION TO TRIGONOMETRY

    ZEN PUBLICATION|Exercise Exercise 11.3|11 Videos
  • AREA RELATED TO CIRCLES

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

Similar Questions

Explore conceptually related problems

Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1- tan A )/( 1-cot A ))^(2)= tan ^(2) A

Prove the following identities, 0^(@) le theta le 90^(@) . (i) (cosec 0 - cot theta)^(2) = (1-cos theta)/(1+cos theta)

Prove the following identities, 0^(@) le theta le 90^(@) . (ii) (cos A)/(1+ sin A) + (1+sin A)/(cos A) = 2 sec A

( ( 1 + tan ^ 2 A )/( 1 + cot ^ 2 A )) = (( 1 - tan A)/ ( 1 - cot A )) ^ 2 = tan ^ 2 A

Prove the following identities, 0^(@) le theta le 90^(@) . (v) (cos A - sin A +1)/(cos A + sin A -1) = cosec A + cot A

Prove the following identities,where the angles involved are acute angles for which the expressions are defined. ((1+tan^(2)A)/(1+cot^(2)A))=((1-tanA)/(1-cot A))^(2)=tan^(2)A

Show that (1- tan ^(2) A ) /( cot ^(2) A-1) =tan ^(2) A

Maximum value of (1)/(sectheta),0^(@)le theta le 90^(@) is:

cot(tan^(-1)a+cot^(-1)a)