Question

Evaluate

 Sin 60⁰ cos 30⁰ + cos 60⁰ sin 30⁰​

Answer 1

√3/2 × √3/2 + 1/2 + 1/2

So, 3/4 + 1/4

Hence, 3+1/4 = 4/4 = 1

so, answer is 1

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Answer 2

Answer:

sin60. cos 30 + sin 30 .cos 60=1

STEP BY STEP EXPLANATION:

GIVEN:Expression sin60.cos 30 +sin 30 .cos 60

TO FIND:The solution of the given expression?

SOLUTION:

sin60. cos30 +sin30 .cos60

APPLYING PROPERTY

sinA cosB + cosA sin B =sin (A+B)

sin60 . cos30 + sin30 . cos60 = sin (60+30)

sin60 . cos30 + sin30 . cos 60 = sin(90)

WE KNOW, sin (90) = 1

sin 60 .cos 30 +sin 30 . cos 30 =1 ans

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