Home
Class 11
MATHS
If DeltaABC is right triangle and if ang...

If `Delta`ABC is right triangle and if `angleA = (pi)/(2)`, then prove that
`cos^(2)B + cos^(2)C = 1`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(2)B + sin^(2)B = 1`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.8|18 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.9|16 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.6|21 Videos

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section -IV|7 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

If Delta ABC is right triangle and if angleA = (pi)/(2) , then prove that sin^(2) B + sin^(2)C = 1

If Delta ABC is right triangle and if angleA = (pi)/(2) , then prove that cos B - cos C = -1 + 2 sqrt(2) cos"" (B)/(2) sin"" (C )/(2) .

If triangleABC is a right triangle and if angleA=pi/2 , then prove that (i) cos^(2) B+cos^(2)C=1 (ii) sin^(2) B+sin^(2) C=1 cos B-cos C=-1+2 sqrt2 cos""B/2sin ""C/2

If in a triangle ABC , a=5,b=4 ,A = (pi)/( 2) +B then C

In a triangle ABC, if sin A sin(B-C)=sinC sin(A-B) , then prove that cos 2A,cos2B and cos 2C are in AP.

In a triangle ABC , a =2,b=3 and sin A = (2)/(3) then cos C=

In a right triangle ABC, right angled at B, if tan A=1, then verify that 2sinAcosA=1.

In a Delta ABC, angleA = 60^(@), prove that b + c = 2a cos ((B - C)/(2)) .

In any triangle prove that a^2 =(b+c)^2 sin^2 (A/2) +(b-c)^2 cos^2 (A/2)