Question

the valu of x for which sin2x attains its maximum is​

Answer 1

Answer:

45 degrees

Step-by-step explanation:

sin 0 = 0 and sin 90 = 1

so sine value of an angle attains its maximum value "1" when the angle is equal to 90 degrees.

sin 2x = 1 ( maximum value )

so

2x = 90 degrees.

x = 90 degrees

Answer 2

Answer:

sin2x attains its maximum value when x = 45°

Step-by-step explanation:

To find,

The value of 'x' such that sin2x is maximum

Recall the concept

0≤sin A≤1

Sin 90 =1

Solution

Since 0≤sin A≤1 , we have the maximum value of sin A = 1

Hence we have the maximum value of sin2x = 1

sin 2x = 1 = sin90

2x = 90

x = 45

sin2x attains its maximum value when x = 45°

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