if cosx = 0.25 find sinx, tanx

Expert Answers

| Certified Educator

cosx = 0.25 = 1/4

We know that:

sin^2 x + cos^2 x = 1

==> sinx = sqrt(1-cos^2 x)

= sqrt(1- 1/16)

= sqrt(15/16) = sqrt15/4

==> sinx = sqrt15/4

==> tanx = sinx/cosx = (sqrt15/4)/(1/4) = sqrt15

==> tanx = sqrt14

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