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find the maximum value of 15sin 20cos
Question:
Find the maximum value of 15sin θ + 20cos θ.
MHT CET
Updated On:
Jun 23, 2024
(A) 25
(B) 35
(C) 30
(D) 5
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Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Explanation:
Given: 15sin θ + 20cos θHere a = 15 and b = 20Then the maximum value
=
15
2
+
20
2
=
225
+
400
=
(
625
)
=
25
∴ The maximum value of 15sin θ + 20cos θ is 25.Hence, the correct option is (A).
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