SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 87 of 100

Marks: +1, -0

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

^{7}

P + cosec

^{7}

P is

Solution:

(2)

\sin {P}+\cosec {P}=2

⇒ \sin {P}+ {1}/{\sin {P}}=2

⇒{\sin ^{2} {P}+{1}/{\sin {P}}=2

⇒\sin ^{2} P+1=2 \sin P

⇒ \sin ^{2} P-2 \sin P+1=0

⇒(\sin P-1)^{2}=0

⇒ \sin {P}-1=0⇒ \sin {P}=1

∴ \cosec {P}=1

\∴\sin ^{7} {P}+\cosec ^{7} {P}=1+1=2

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