Question

If Sin x + Cosec x =2 then the value of sin10 x + cosec10 x is equal to
(a) 10. (b) 20. (c) 2. (d) 100​

Answer 1

Answer:

20

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Answer 2

$sinx+cosecx=2 \\ sinx+ \frac{1}{sinx}=2 \\ {sin}^{2}x+1=2sinx \\ {sin}^{2}x-2sinx+1=0 \\ {sinx-1}^{2}=0 \\ sinx-1=0 \\ sinx=1 \\ then \: cosecx = \frac{1}{sinx} \\ cosecx=1 \\ {sin}^{10}x+{cosec}^{10}x = {1}^{10}+{1}^{10} \\ =1+1 \\ = 2$