Question

1. Find the value of sin 60° cos 30° + sin 30° cos 60°​

Answer 1

Answer:

The values are:-

√3/2×√3/2 + 1/2 × 1/2

Step-by-step explanation:

Further division,

=3/4+1/4

=(12+4)+ 4/16

=20/16

=5/4

I hope this will help you

All the Best...

Answer 2

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$\huge\bold\pink{Given:}$

$⇒\:sin 60° \:cos 30°\: + \:sin 30° \:cos 60°$

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⇒value of the given equation .

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⇒sin θ = cos ( 90° – θ )

⇒cos θ = sin ( 90° – θ )

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$⇒\:sin θ \:= \:cos ( 90°\: – \: θ )$

$⇒\:sin 60° \:= \:cos\: ( 90°\: –\: 60° )$

$⇒\:sin 60° \:= \:cos 30°$ ––– (i)

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$⇒\:cos θ \:= \:sin\: ( 90° \:– \;θ )$

$⇒\:cos 60° \: = \: ( 90°\: –\: 60° )$

$⇒\:cos 60° \:= \:sin 30°$ –––(ii)

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now we have from –––(i) and (ii)

$⇒\:cos 30° \: cos 30° \:+\: sin 30°\:sin 30°$

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As we know that .

$⇒\:cos 30°\: = \: \frac{1}{2}$

$⇒\:sin 30° \:= \: \frac{\sqrt{3}}{2}$

substituting this value In equation .

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$⇒\:cos 30° \: cos 30° \:+\: sin 30°\:sin 30°$

$⇒\:\frac{1}{2} × \frac{1}{2} + \frac{\sqrt{3}}{2} × \frac{\sqrt{3}}{2}$

$⇒\:\frac{1\:×\:1}{2\:×\:2} \:+\frac{\sqrt{3}\:×\:\sqrt{3}}{2\:×\:2}$

$⇒\:\frac{1}{4} \:+\:\frac{3}{4}$

$⇒\:\frac{1\:+\:3}{4}$

$⇒\:\frac{4}{4}$

$⇒\:1$

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$⇒\:cos 30° \: cos 30° \:+\:sin 30°\:sin 30°\:=\:1$

$\huge\mathcal\color{red}I\:hope\:it\:helps\:you.$