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Byju's Answer
Standard XII
Mathematics
Circular Measurement of Angle
Evaluate each...
Question
Evaluate each of the following :
s
i
n
2
45
∘
+
c
o
s
2
45
∘
t
a
n
2
60
∘
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Solution
We have,
s
i
n
2
45
∘
+
c
o
s
2
45
∘
t
a
n
2
60
∘
=
(
s
i
n
45
∘
)
2
+
(
c
o
s
45
∘
)
2
(
t
a
n
60
∘
)
2
=
(
1
/
√
2
)
2
+
(
1
/
√
2
)
2
(
√
3
)
2
=
1
2
+
1
2
3
=
1
3
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3
Similar questions
Q.
Show that :
2 (
cos
2
45
∘
+
tan
2
60
∘
) - 6 (
sin
2
45
∘
−
tan
2
30
∘
) = 6
Q.
Evaluate
s
i
n
2
45
∘
+
tan
2
45
∘
+
cos
2
45
∘
Q.
Evaluate each of the following :
s
i
n
60
∘
c
o
s
2
45
∘
−
c
o
t
30
∘
+
15
c
o
s
90
∘
Q.
Evaluate the following
(
i
)
1
+
tan
2
30
∘
1
−
tan
2
30
∘
+
c
o
s
e
c
2
60
∘
−
cos
2
45
∘
+
sin
2
45
∘
+
1
+
cot
2
60
∘
1
−
cot
2
60
∘
(
i
i
)
4
(
sin
4
30
∘
+
cos
4
60
∘
)
−
3
(
cos
2
45
∘
−
sin
2
90
∘
)
Q.
Evaluate each of the following :
2
s
i
n
2
30
∘
−
3
c
o
s
2
45
∘
+
t
a
n
2
60
∘
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