A geometry problem by Mohammad Khaza

Geometry Level 2

If sin ⁡ x + csc ⁡ x = 2 \sin x+\csc x=2 then sin ⁡ n x + csc ⁡ n x = ? \sin^n x+\csc^n x=?


The answer is 2.

Mohammad Khaza by Mohammad Khaza , 20, Bangladesh

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1 solution

Mohammad Khaza
Jun 29, 2017

sinx+cosecx=2

or,sinx+1/sinx=2

or,sin^2x+1-2sinx=0

or,(sinx-a)^2=0

or, sinx=1

or,1/sinx=cosecx=1 

1^anything is 1

so,sin^n .x+cosec^n .x=1+1 

                                   =2
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