If sin p + cosec p = 2, then the value of $$sin^{7}p + cosec^{7}p$$ is
Expression : $$sin p + cosec p = 2$$
=> $$sin p + \frac{1}{sin p} = 2$$
=> $$sin^2 p - 2sin p + 1 = 0$$
=> $$(sin p -1)^2 = 0$$
=> $$sin p = 1$$
and $$cosec p = 1$$
$$\therefore sin^7 p +cosec^7 p = 1 + 1 = 2$$
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