Simple Trig Question?

Find all possible values of sin(theta) when cos(theta)= 1/5

2006-11-09 06:20:21 · 1 answers · asked by AppleCard! 2 in Science & Mathematics ➔ Mathematics

1 answers

Remember that
(sin(theta))^2 + (cos(theta))^2 = 1

So,
(sin(theta))^2 + (1/5)^2 = 1
(sin(theta))^2 + 1/25 = 1
sin(theta))^2 = 24/25
sin(theta) = (+/- sqrt(24))/5 = (+/- 2sqrt(6))/5

2006-11-09 06:26:16 · answer #1 · answered by iuneedscoachknight 4 · 3⤊ 0⤋

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