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inysia [295]
3 years ago
5

Can someone please help me??

Mathematics
1 answer:
babunello [35]3 years ago
3 0
I'll help on 12. You know that 5*5 is 25. therefore what times 5 equals 20? 
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Given sin theta = 2/5 and 0 theta 90 find sin 2 theta
Liono4ka [1.6K]

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

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