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is x=15 degrees a solution of (( sqrt3)/3) cos2x+sin2x=1? how can i figure this out?
 one year ago
 one year ago
is x=15 degrees a solution of (( sqrt3)/3) cos2x+sin2x=1? how can i figure this out?
 one year ago
 one year ago

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campbell_stBest ResponseYou've already chosen the best response.1
just substitute x = 15 into each trig ratio and use the exact angle identities below dw:1352142650262:dw if x =15 then 2x = 30.... use the exact values from the triangle above for cos2(15) = cos(30) ans sin2(15) = sin(30)
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
how did you figure the triangle? even i didnt get or understand how to do that
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
is the cos sqrt 3 / 2 and the sin 1/2?
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
its called the an exact value triangle and its usually taught during a topic on trigonometry. thats correct now substitute those values to show that you will get 1 as the answer,
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay let me try it. hold on
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
dw:1352143377873:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
is this right? so it doesnt equal 1
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
not quite dw:1352143232742:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
so it doesnt equal 1 still. right?
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
yes it does you need to check the 1st part dw:1352143563524:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
hold on let me try again, i wrote all sloppy
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
dw:1352144119351:dw
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
your question says dw:1352143923416:dw
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
substituting the exact values gives dw:1352143978828:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay i see the 2x, is basically that value of cos that is the sqrt 3 /2
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
thats right it x = 15 2x = 30 so you are using cos(30) and sin(30) which are known as exact values.
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
dw:1352144487645:dw
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
no dw:1352144327997:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay so the answer is 1/2, so the equation does not equal 1
 one year ago

campbell_stBest ResponseYou've already chosen the best response.1
I'll write it again dw:1352144410590:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay, so i would cross multiply to the the 6/6 to equal 1?
 one year ago
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