can i get help with these two problems? | Mathematics | Page 1

opaque galleon Jun 16, 2024, 6:37 AM

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for the first one, i understand everything up until sin(2.75) = 5/13, how do you get 5/13?

second one, i dont understand it at all.

placid perchBOT Jun 16, 2024, 6:37 AM

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quasi vine Jun 16, 2024, 6:57 AM

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this is how i understand it...
draw triangle in quadrant 3

cos function is adj/hyp
cos x = -12/13

sin function is opp/hyp
find opp, use pythagorean theorem
opp=sqrt(13²-12²)
opp=5

so... sin x = 5/13
since sin is negative on quadrant 3,

sin x= -5/13

opaque galleon Jun 16, 2024, 7:02 AM

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ahhh okay i didnt know about drawing the triangle

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that makes sense now thanks

quasi vine Jun 16, 2024, 8:37 AM

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for the second one, that's a reference angle.

opaque galleon Jun 16, 2024, 9:55 AM

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quasi vine for the second one, that's a reference angle.

does -radical 3 sin x over cos x become tan since sin and cos are in the third quadrant? and since they said 0,180

quasi vine Jun 16, 2024, 10:19 AM

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thats a trigonometric identity
sin/cos = tan

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this is true for all and everything

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regardless of the angle/s

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opaque galleon Jun 16, 2024, 10:24 AM

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OH okay

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what happens here?

quasi vine Jun 16, 2024, 10:55 AM

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the angle measure π/6 is in radians. if you convert it to degrees, it will be 30°.

the angle given is -π/6 which is -30°

but the condition is [0°,180°], so we need to find an angle which will have the same value of -1/√3

add 180°
so, 180 + (-30) = 150°

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150° = 5π/6

opaque galleon Jun 16, 2024, 2:43 PM

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thank you so much bro

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.close

#can i get help with these two problems?