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MHT CET 2017 Math Solved Paper
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© examsnet.com
Question : 1
Total: 50
The number of principal solutions of tan 2θ = 1 is
one
two
three
four
Validate
Solution:
(b) We have, tan 2θ = 1.
⇒
tan
2
θ
=
tan
π
4
,
⇒
2
θ
=
n
π
+
π
4
⇒
θ
=
n
2
π
+
π
8
Also, the value of tan 2θ is positive. So, θ lies in 1 st and 3rd quadrants.
∴ θ =
π
8
&
9
π
8
, are the two principal solutions.
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