the value of 2 sin^2 30 degree - 3 cos^2 45 degree + tan^2 60 degree + 3 sin^2 90 degree is
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Class 10
>>Maths
>>Introduction to Trigonometry
>>Solving Problems : Using Trigonometric Tables
>>Evaluate each of the follow...
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Evaluate each of the following :
2sin
2
30
∘
−3cos
2
45
∘
+tan
2
60
∘
Medium
Solution
verified
Verified by Toppr
Given 2sin
2
30
∘
−3cos
2
45
∘
+tan
2
60
∘
=2(
2
1
)
2
−3(
2
1
)
2
+(
3
)
2
[∵cos45
∘
=
2
1
,sin30
∘
=
2
1
,tan60
∘
=
3
]
=
4
2
−
2
3
+3
=
2
1
−
2
3
+
2
3×2
=
2
1
−
2
3
+
2
6
=
2
4
=2
Hence, 2sin
2
30
∘
−3cos
2
45
∘
+tan
2
60
∘
=2
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