If y = 2 / sin theta + √3 cos theta , then the maximum value of y is
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surajkumarsk7679
27.06.2018
Math
Secondary School
+13 pts
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Y=2/(sin theta + √3 cos theta), then the minimum value of y is?
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abhi178
Genius
Y =2/(sinθ + √3cosθ)
for solving this question, you should understand one thing
- ≤ asinx + bcosx ≤
So, -√(1 + √3²) ≤ (sinθ + √3cosθ) ≤ √(1 + √3²)
-2 ≤ (sinθ + √3cosθ) ≤ 2
So, minimum value of (sinθ + √3cosθ) = -2
Maximum value of (sinθ + √3cosθ) = 2
For getting minimum value of y , we have to use maximum value of (sinθ + √3cosθ) .
So, minimum value of y = 2/-2 = 1
Hence, =1
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Answer:
hello I hope this helps you
Explanation:
if y =2 sin theta
route 3 cos theta
then the maximum value of Y is =2+3 or 3-2
.'. 5 or 1
final answer is 1/5
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