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Mathematics 13 Online
OpenStudy (anonymous):

when are sine and cosine equal

OpenStudy (anonymous):

45 degrees (pi/4). A right angle with an angle of 45 degrees will be a 45-45-90 triangle. Equal angles give equal sides. If the hypotenuse is length r, and the sides are length s, then sin(45) = opp/hyp = s/r cos(45) = adj/hyp = s/r sin(x) and cos(x) are equal for 45 degrees. Another way of solving is to say sin(x) = cos(x) sin(x)/cos(x) = 1 tan(x) = 1 x = arctan(1) x = 45 degrees Since tan(x) is positive in Quadrant III another valid angle is 180 + 45 = 225 degrees To be even more specific for any angle 180(n-1) + 45 where n is a positive integer, sin(x) and cos(x) are equal

OpenStudy (anonymous):

0.0

OpenStudy (anonymous):

wut?

OpenStudy (anonymous):

goodbye

OpenStudy (amistre64):

well, always since the range of both is continuous from -1 to 1

OpenStudy (anonymous):

soooo

OpenStudy (amistre64):

so for any given value of a sine function; you can find an equal value of a cosine function.

OpenStudy (anonymous):

thts the answer?

OpenStudy (amistre64):

according to what you have posted ..... yes.

OpenStudy (amistre64):

"when are sine and cosine equal" for any given value of a sine function; you can find an equal value of a cosine function.

OpenStudy (anonymous):

do you know which valuse r always less then 1

OpenStudy (anonymous):

values

OpenStudy (amistre64):

if you meant to ask: when is sin(x) equal to cos(x) then so derivation of 45 degrees is suitable

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