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Find the trigonometric equation of sin^10-cos^10=1 immediately

Find the trigonometric equation of sin^10-cos^10=1 immediately 

Grade:12th pass

1 Answers

Aditya Gupta
2081 Points
5 years ago
Let sinx=s and cosx= c
So s^10=1+c^10
Now c^10 is greater than equal to zero
So 1+c^10 is greater than equal to 1.
But s^10 is less than or equal to 1
So for both sides to be equal, they have to be equal to 1.
So s= +-1 and c=0
So that x= odd multiple of pi= 2npi +- pi/2

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