2cos-2-3sin-Find-the-best-metaphore-

Question Number 12626 by @ANTARES_VY last updated on 27/Apr/17

2 \cos^{2} α - 3 \sin α

Find the best metaphore

Commented by prakash jain last updated on 27/Apr/17

Are u using google translate ?

Answered by ajfour last updated on 27/Apr/17

2 - 3 \sin α - 2 \sin^{2} α

= 2 - 4 \sin α + \sin α - 2 \sin^{2} α

= (1 - 2 \sin α) (\sin α + 2)

A l s o

= 2 - 2 [{(\sin α + \frac{3}{4})}^{2} - \frac{9}{16}]

= 2 + \frac{9}{8} - 2 {(\sin α + \frac{3}{4})}^{2}

= \frac{25}{8} - 2 {(\sin α + \frac{3}{4})}^{2} .

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