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Byju's Answer
Standard XII
Mathematics
Sign of Trigonometric Ratios in Different Quadrants
Express tan...
Question
Express
tan
θ
in terms of
sin
θ
.
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Solution
We have
tan
θ
=
sin
θ
cos
θ
=
sin
θ
√
1
−
sin
2
θ
.
This is the required expression in
sin
θ
.
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Q.
Write
t
a
n
θ
in terms of
s
i
n
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Q.
What value of
tan
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in terms of
sin
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Q.
Express the
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in the form of
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If
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Q.
Question 5 (iii)
Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
(iii)
t
a
n
θ
(
1
−
c
o
t
θ
)
+
c
o
t
θ
(
1
−
t
a
n
θ
)
=
1
+
s
e
c
θ
c
o
s
e
c
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[Hint : Write the expression in terms of
s
i
n
θ
and
c
o
s
θ
]
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