Home
Class 11
MATHS
If sin A + cosec A= 2, then prove that: ...

If sin A + cosec A= 2, then prove that: `sin^(n) A + "cosec"^(n) A=2`

Text Solution

AI Generated Solution

To prove that if \( \sin A + \csc A = 2 \), then \( \sin^n A + \csc^n A = 2 \), we can follow these steps: ### Step 1: Start with the given equation We are given: \[ \sin A + \csc A = 2 \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3A|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3B|22 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

If sin P + cosec P = 2, then the value of sin^7 P + cosec^7 P is

If sin x + cosec x =2, then what is sin^(9) x+ cosec^(9) x equal to ?

If sin x + cosec x = 2. then what is the value of sin^(6) x+ cosec^6x ?

If sin x + "cosec"x=2 , then, for all n in N , the value of: sin^(n)x + "cosec"^(n)x=

If sin alpha+cosec alpha=2 ,find the value of sin^(n)alpha+cosec^(n)alpha , n in Z

If sintheta + cosec theta = 2, then find th value of sin^(n)theta + cosec^(n)theta, where is any real number.