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Evaluate sin 60° cos 30° + sin 30°cos 60°. What is the value of sin(60° + 30°). What can you conclude?
Answers
Answered by
20
sin(90°) = 1
Now,
sin90 = sin (60+30)
And by the formula of
sin(A+B) = sin A cos B + cos A sin B
We see that,
sin60cos30+sin30cos60 = sin(30+60) = sin 90 = 1
Now,
sin90 = sin (60+30)
And by the formula of
sin(A+B) = sin A cos B + cos A sin B
We see that,
sin60cos30+sin30cos60 = sin(30+60) = sin 90 = 1
Answered by
11
Answer:
Sin60*cos(90-60)+sin30.cos(90-30)
Sin60*sin60+sin30*sin30
Sin²60+sin²30
{√3/2}²+1/4
3/4+1/4
(3+1)/4
4/4
=1
Step-by-step explanation:
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