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trun it into sin( 45 + 30 ).

sin ( 45 + 30 ) = sin30cos45 + cos30sin45

sin30cos45 + cos30sin45 = (1/2)((sqrroot2)/2) + ((sqrroot3)/2)((sqrroot2)/2)

(1/2)((sqrroot2)/2) +((sqrroot3)/2)((sqrroot2)/2)=((sqrroot2)/4) + ((sqrroot6)/4)

((sqrroot2)/4) + ((sqrroot6)/4)= ((sqrroot2) + (sqrroot6)) /4

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Q: How do you use sum and difference identities to find the exact value of sin75?
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Related questions

How can the exact value of sin75 be found using sina plus b equals sinacosb plus cosasinb?

sin75 = sin(45 + 30) = sin45cos30 + cos45sin30 = (1/root 2)((root 3)/2) + (1/root 2)(1/2)


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sin(75) = sin(45 + 30) = sin(45)*cos(30) + cos(45)*sin(30) = [1/sqrt(2)]*[sqrt(3)/2] + [1/sqrt(2)]*[1/2] = 1/[2*sqrt(2)]*[sqrt(3) + 1] that is [sqrt(3) + 1] / [2*sqrt(2)]


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