Question

2sin45° cos 45° is.... *



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Answer 1

Answer:

Answer is 2

Step-by-step explanation:

2sin 45 * cos45

2*1/under root 2 *under root 2

So root 2 will be cancel out by root 2

So the answer will be 2.

Answer 2

Answer:

2sin45cos45 = 1

Step-by-step explanation:

We know that,

2sinФcosФ = sin2Ф

Hence,

2sin45°cos45°

= sin(2*45)

= sin90

= 1

OR

We know that,

$sin45 ^\circ = \dfrac{1}{\sqrt{2}}$

$cos45 ^\circ = \dfrac{1}{\sqrt{2}}$

Substituting these values in we get,

$2sin45 ^\circ cos45^\circ = 2 \times \dfrac{1}{\sqrt{2}} \times \dfrac{1}{\sqrt{2}}$

                       = 2 × 1/2

                       = 1