evaluate sin75 - sin15 without using a calculator
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Answer:
sin(75-15)=sin(60)=1/2
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Answer:
By writing sin 75 as sin (30+45)
Now we can use the formula
Sin (A+B)= sinAcosB+cosAsinB
Sin (30+45)=sin 30cos45+cos30sin45
= 1/2*1/√2+√3/2*1/√2
= (1+√3)/2√2
=(1+1.732)/2*1.414
=2.732/2.848
=0.967 appox
Step-by-step explanation:
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