Question

2 sin 105°×sin 15°


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Answer 1

Answer:

1/2

Step-by-step explanation:

 2 sin 105°×sin 15°

sin(s)sin(t) = (-cos(s + t) + cos(s - t )) / 2

2(-cos(105 + 15) + cos(105 - 15 )) / 2

-cos(120) + cos(90)

-(-1/2) + 0

1/2

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Answer 2

Step-by-step explanation:

2sin(60+45)*sin(60-45)

2(sin60.cos45+cos60.sin45)(sin60.cos45-cos60.sin45)

2(✓3/2.1/✓2+1/2.1/✓2)(✓3/2.1/✓2-✓3/2.1/✓2)

2(✓3/✓2+1/✓2)(✓3/2-1/✓2)

2(✓6+2/2✓2)(✓6-2/2✓2)

2((✓6)^2-2^2/(2✓2)^2

2(6-4/8)

2.2/8

4/8

1/2 is the answer

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