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SSC CGL Tier-1 31-08-2016 Solved Paper
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© examsnet.com
Question : 61
Total: 100
If tan θ + cot θ = 5, then the value of
t
a
n
2
θ +
c
o
t
2
θ is
22
25
23
27
Validate
Solution:
tan θ + cot θ = 5
On squaring both sides,
(
t
a
n
θ
+
c
o
t
θ
)
2
= 25
⇒ tan 2θ + cot 2θ + 2 tan θ. cot θ = 25
⇒ tan 2θ + cot 2θ + 2 = 25
⇒ tan 2θ + cot 2θ = 25 – 2 = 23
© examsnet.com
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