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Assoli18 [71]
4 years ago
5

Prove that sin54-sin18=1/3

Mathematics
1 answer:
Margarita [4]4 years ago
3 0
Did you mean <span>sin54-sin18=1/2 ?

</span>cos36 - sin18 

= 1-2sin^2 18 - sin18 
<span>
= 1-2[(1/4)(sqrt5 - 1)]^2 - (1/4)(sqrt5 - 1), since sin18 = (1/4)(sqrt5 - 1) </span>
<span>
= 1 - (1/8)(6-2sqrt5) - (1/4)(sqrt5 - 1) </span>
<span>
= 1 - 3/4 + 1/4 </span>
<span>
= 2/4 </span>
<span>
= 1/2 
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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