Question

if y=√3 sin t+cost, then maximum value of y occurs when value of t is​

Answer 1

Explanation:

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Answer 2

Answer:

π / 3 

Given:

Y = 3 sin t + cos t

Since t depends on Y:

To determine the maximum value of y:

d y / d x = 0

d y / d x = ( 3 sin t + cos t)' = 0

3 cos t - sin t = 0

r = √ ((√ 3)² + 1²) = 2

By dividing by 2, we obtain:

3 / 2 cos t - 1 / 2 sin t = 0

equals > cos t. cos / 6 - sin t. sin / 6 = 0.

Using the formula:

cos A. cos B - sin A. sin B = cos (A + B)

cos (t + π / 6) = 0

Writing "0" as cos / 2

cos (t + / 6) = cos / 2

When comparing the two sides, we obtain:

t + π / 6 = π / 2

t = π / 3

Consequently, the value of t is t / 3.

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