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Byju's Answer
Standard XII
Mathematics
Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine
Prove that:si...
Question
Prove that:
s
i
n
2
θ
1
+
c
o
s
2
θ
=
t
a
n
θ
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Solution
LHS,
s
i
n
2
θ
1
+
c
o
s
2
θ
=
2
s
i
n
θ
c
o
s
θ
2
c
o
s
2
θ
=
s
i
n
θ
c
o
s
θ
=
t
a
n
θ
=
RHS
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Similar questions
Q.
Prove that :
√
1
−
cos
2
θ
1
+
cos
2
θ
=
tan
θ
Q.
Prove that:
c
o
s
2
θ
1
−
t
a
n
θ
+
s
i
n
3
θ
s
i
n
θ
−
c
o
s
θ
=
1
+
s
i
n
θ
c
o
s
θ
Q.
1
−
c
o
s
2
θ
+
s
i
n
2
θ
1
+
c
o
s
2
θ
+
s
i
n
2
θ
=
t
a
n
θ
Q.
Assertion :If
x
=
√
cos
2
θ
+
√
cos
2
θ
√
cos
2
θ
+
.
.
.
∞
and
y
=
√
sec
θ
−
√
sec
θ
−
√
sec
θ
−
.
.
.
∞
then
(
x
2
−
x
)
(
y
2
+
y
)
=
1
Reason: If
z
=
√
tan
θ
+
√
tan
θ
+
√
tan
θ
+
.
.
.
∞
then
z
2
=
tan
θ
+
z
.
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Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine
Standard XII Mathematics
Join BYJU'S Learning Program
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