The value of 2(sin² 45° + cot²30°) - 6(cos² 45°- tan²30°
is
(a) 6 (b) 3 (c) 2 (d) 4
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Answered by
0
Answer:
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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 :
cosec30
∘
+sec60
∘
−cot
2
30
∘
tan
2
60
∘
+4cos
2
45
∘
+3sec
2
30
∘
+5cos
2
90
∘
Medium
Solution
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Given
csc30
∘
+sec60
∘
−cot
2
30
∘
tan
2
60
∘
+4cos
2
45
∘
+3sec
2
30
∘
+5cos
2
90
∘
=
2+2−(
3
)
2
(
3
)
2
+4(
2
1
)
2
+3(
3
2
)
2
+5(0)
=
2+2−3
3+4(
2
1
)+3(
3
4
)
=3+4(
2
1
)+3(
3
4
)
=3+2+4
=9
Answered by
1
Step-by-step explanation:
2(1/2 + 3) - 6(1/2 + 1/3)
2 × 7/2 - 6 × 5/6
7 - 5
2
Answer is (c) = 2
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