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Mathematics 12 Online
OpenStudy (anonymous):

Find all solutions in the interval [0, 2π). sin2x - cos2x = 0

OpenStudy (cwrw238):

sin2x = cos2x now divide both sides by cos 2x

OpenStudy (anonymous):

is this multiple choice?

OpenStudy (cwrw238):

what do you get?

OpenStudy (anonymous):

@melchar

OpenStudy (anonymous):

pi/4

OpenStudy (anonymous):

x = pi divided by four x = pi divided by four, three pi divided by four, five pi divided by four, seven pi divided by four x = seven pi divided by four, pi divided by three x = seven pi divided by four, pi divided by six

OpenStudy (anonymous):

is it pi/4

OpenStudy (cwrw238):

sinx / cos x = tan x so our eqaution becomes tan 2x = 1

OpenStudy (cwrw238):

use your calculator to find the angle whose tangent is 1 - this will, give you one value for 2x

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