Home
Class 12
MATHS
If n is an odd positive interger, then ...

If n is an odd positive interger, then
`((cosA+cosB)/(sinA-sinB))^(n)+((sinA+sinB)/(cosA-cosB))^(n)=`

Text Solution

AI Generated Solution

To solve the problem, we need to evaluate the expression: \[ \left( \frac{\cos A + \cos B}{\sin A - \sin B} \right)^n + \left( \frac{\sin A + \sin B}{\cos A - \cos B} \right)^n \] where \( n \) is an odd positive integer. ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Solved example|15 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.1|11 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos
  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

Show that (1+sinA)/(cosA)+(cosB)/(1-sinB)=(2sinA-2sinB)/(sin(A-B)+cosA-cosB)

Prove that: (cosA+cosB)^2+(sinA-sinB)^2=4cos^2((A+B)/2) .

cosA/(1−sinA) =

Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={2cot^n((A-B)/2) ,if n is even, 0 if n is odd,

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: (cosA+cosB)^(2)+(sinA+sinB)^(2)=4cos^(2)(A-B)/2

If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

(sinA+cosA)^2+(sinA-cosA)^2=

Prove that: (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/(cosA)

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