Question

if y=sin 2 theta then find theta where y will be maximum:-90°,45°,60°,30°

Answer 1

Answer:

max. possible value for sinx is 1

now, x=2 theta

so,

sin 2theta=1

=> 2 theta=90°

=> there =45°

Answer 2

Answer:

The correct answer is option b) 45°.

Step-by-step explanation:

Given:

y = sin2Ф

To find:

the value of ' Ф ' where y will be maximum.

Step 1

Sine value exists maximum at 1 and minimum at 0;

Range of sine = (0, 1)

Here, we have to estimate Ф where y exists maximum.

Hence, y = 1

Step 2

sin2Ф = 1

2Ф = 90°

Ф = 90°/2

Ф = 45°

Hence, the value of Ф where y stands the maximum exists 45°.

Therefore, the correct answer is option b) 45°.

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