If Cot A = 2, the value of cosec²A + Cot² A is
(a) 5 (b) 6 (c) 7 (d) 9
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1
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Correct option is
D
8
17
cosecθ−cotθ=2⟶(1)
Now, (cosec
2
θ−cot
2
θ)=1
⇒(cosecθ−cotθ)(cosecθ+cotθ)=1
⇒2(cosecθ+cotθ)=1
⇒(cosecθ+cotθ)=
2
1
⟶(2)
Adding (1)&(2), we get
⇒2cosecθ=2+
2
1
=
2
5
⇒cosecθ=
4
5
⇒cosec
2
θ=
16
25
Again (2)−(1), we get
⇒2cotθ=
2
1
−2=−
2
3
⇒cotθ=−
4
3
⇒cot
2
θ=
16
9
⇒cosec
2
θ+cot
2
θ=
16
34
=
8
17
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Answered by
0
Answer:
9
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