If sinP + cosecP = 2, then the value of sin7P + cosec7P is?
A. 1
B. 2
C. 3
D. 0
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{sin P}} + {\text{cosec P}} = 2 \cr & {\text{For P}} = {90^ \circ } \cr & \Rightarrow {\text{sin }}{90^ \circ } + {\text{cosec }}{90^ \circ } = 2 \cr & \Rightarrow 1 + 1 = 2 \cr & \Rightarrow 2 = 2\left( {{\text{satisfy}}} \right) \cr & {\text{So, }}{\sin ^7}{\text{P}} + {\text{cose}}{{\text{c}}^7}{\text{P}} \cr & \Rightarrow {\sin ^7}{90^ \circ } + {\text{cose}}{{\text{c}}^7}{90^ \circ } \cr & \Rightarrow {1^7} + {1^7} \cr & \Rightarrow 2 \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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