Prove that:-
Sin ^2 72° - Sin ^2 60° => underoot5-1/8
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Answer:
Sin ^2 72° - Sin ^2 60° => underoot5-1/8
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Step-by-step explanation:
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Step-by-step explanation:
A=18°
5A=90
3A=90–2A
cos3A=sin2A
① 4c³-3c=2sc
4c²-3=2s
4–4s²=2s+3
4s²+2s-1=0
② s=(-2±2√5)/8=(√5–1)/4
③ s²=(6–2√5)/16
④ c²=1-s²=(1/16)(10+2√5)=(5+√5/8)=cos²18°==sin²72°
⑤∴sin²72°-sin²60°
=(5+√5)/8–3/4
=(5+√5–6)/8
-------hence proved--------
=(√5–1)/8 ♬♬♬
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