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lilsis76
 3 years ago
is x=15 degrees a solution of (( sqrt3)/3) cos2x+sin2x=1? how can i figure this out?
lilsis76
 3 years ago
is x=15 degrees a solution of (( sqrt3)/3) cos2x+sin2x=1? how can i figure this out?

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campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1just 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)

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0how did you figure the triangle? even i didnt get or understand how to do that

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0is the cos sqrt 3 / 2 and the sin 1/2?

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1its 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,

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0okay let me try it. hold on

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0is this right? so it doesnt equal 1

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1not quite dw:1352143232742:dw

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0so it doesnt equal 1 still. right?

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1yes it does you need to check the 1st part dw:1352143563524:dw

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0hold on let me try again, i wrote all sloppy

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1your question says dw:1352143923416:dw

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1substituting the exact values gives dw:1352143978828:dw

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0okay i see the 2x, is basically that value of cos that is the sqrt 3 /2

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

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1no dw:1352144327997:dw

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0okay so the answer is 1/2, so the equation does not equal 1

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1I'll write it again dw:1352144410590:dw

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0okay, so i would cross multiply to the the 6/6 to equal 1?
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