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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Trigonometry
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iitaspirant10 (111)

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If 3sin[ pi/12 + x] = cos[pi/12 - x]


Prove: sin2x = 1/7


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ravi00 (291)

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first of all

3sin(15+x)=cos(15+x)

by using sin(A+B) nd cos(A+B)



we get the terms in sinx nd cosx nd remember to use sin15

we get 3(root3-3)cosx-(root3+1)cosx=(root3-1)sinx-3(root3+1)sinx...

i m unable to give further steps coz large eq...i gave you the intermediate step which is useful.....by further solving we get tanx...so now it is easy to find sin2x...



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iitaspirant10 (111)

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what if a dont know the value of sin15??

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ravi00 (291)

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sin15=(root3-1)/2root2


nd cos15=(root+1)/2root2


 

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