Home
Class 12
MATHS
Prove that, (cosA)/(1+sinA)=(1+cosA-sinA...

Prove that, `(cosA)/(1+sinA)=(1+cosA-sinA)/(1+cosA+sinA)`

Text Solution

Verified by Experts

The correct Answer is:
`(2cos^2A(1+cosA))/(2(1+cosA)(1+sinA))=(cosA)/(1+sinA)=L.H.S`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE 2|94 Videos
  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|1 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

Similar Questions

Explore conceptually related problems

Prove that, (1+cosA+cos2A)/(sin A+sin2A)=cotA

Prove that (1+secA)/secA=sin^2A/(1-cosA) .

Prove that, SinA/(1-cosA) =CosecA+cotA

Prove that (sin3A+sinA)sinA+(cos3A-cosA)cosA=0

Prove that (sin A+sinB)/(cosB-cosA)=(cos A+cosB)/(sinA-sinB) .

Prove that (sinA+sin3A)/(cosA+cos3A)=tan2A .

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2),ifni se v e n0,ifni sod d,

Prove that (sinA+sinB)/(cosA+cosB)=tan((A+B)/2)

Prove that, |[sin A, cosA, sin(A+theta)],[sinB, cosB, sin(B+theta)],[sinC, cosc, sin(C+theta)]| =0

prove that 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)