Question

kvnmurty garu need help

Evaluate sin 60° cos 30° + sin 30°cos 60°. What is the value of sin(60° + 30°). What can you conclude?

Answer 1

Answer:

!!

Step-by-step explanation:

sin 60 = root 3 /2  

cos 30 = root 3 /2  

sin 30 = 1/2  

cos 60 = 1/2  

= (root 3 /2 ) (root 3 / 2) + (1/2) (1/2)  

= 3/4 + 1/4  

= 4/4  

= 1  

sin 60 + 30 = 90  

where sin 90 = 1

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Answer 2

Heyy Buddy

Here's your Answer

$we \: know \: that \\ \\ sin60 = \frac{ \sqrt{3} }{2} \\ \\ sin30 = \frac{1}{2} \\ \\ cos30 = \frac{ \sqrt{3} }{2} \\ \\ cos60 = \frac{1}{2} \\ \\ now \\ \\ = > \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2} \\ \\ = > \frac{3}{4} + \frac{1}{4} \\ \\ = > \frac{4}{4} \\ \\ = > 1.$

So,

Sin ( 60° + 30° ) = 1

=> Sin 90° = 1.
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