1+cosec π/4+ cosecπ/8+ cosecπ/16
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Answer:
Step-by-step explanation:
csc
32
π
+csc
16
π
+csc
8
π
+csc
4
π
+csc
2
π
=cot
K
π
⇒cscθ+cotθ=cot
2
θ
⇒ using this property
LHS
⇒csc
3
π
+cos
16
π
+csc
8
π
+csc
4
π
+csc
2
π
+cot
2
π
−cot
2
π
⇒csc
32
π
+csc
16
π
+csc
8
π
+cot
8
π
−0
[cot
2
π
=0]
⇒csc
32
π
+csc
16
π
+cot
16
π
=csc
32
π
+cot
32
π
=cot
164
π
RHS=cot
K
π
On comparing we get [K=64]
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