anonymous 5 years ago The value of one trigonometric function is give 0<t<π/2, find the values of the remaining four trigonometric functions, cos t=.4167 and sec t =2.3998 Then I need to find sin t, tan t, cot t, and csc t

1. anonymous

Okay, so here you can use your identities.$\sin^2(x) + \cos^2(x) = 1,$$\sin(t) = \sqrt{1-\cos^2(t),}$ and from here, you can conclude tan(t)$\tan(t) = \sin(t)/\cos(t),$$\csc(t) = 1/\sin(t)$ and finally, cot(t):$\cot(t) = 1/\tan(t).$ Plug the values you have into these equations and you'll get the values for each value of t.

2. anonymous

thank you so much!

3. anonymous

No problem!