if-t-tanx-what-is-the-value-of-sinx-and-cosx-

Question Number 149309 by ArielVyny last updated on 04/Aug/21

i f t = t a n x w h a t i s t h e v a l u e o f

s i n x a n d c o s x ?

Answered by nimnim last updated on 04/Aug/21

s i n x = \frac{t}{\sqrt{1 + t^{2}}}, c o s x = \frac{1}{\sqrt{1 + t^{2}}}

Answered by puissant last updated on 04/Aug/21

\sin (x) = \frac{∣ t ∣}{\sqrt{1 + t^{2}}}; \cos (x) = \frac{1}{\sqrt{1 + t^{2}}} . .

Answered by mathmax by abdo last updated on 04/Aug/21

\cos^{2} x = \frac{1}{1 + \tan^{2} x} = \frac{1}{1 + t^{2}} \Rightarrow \cos (x) = \bar{+} \frac{1}{\sqrt{1 + t^{2}}}

\sin^{2} x = 1 - \cos^{2} x = 1 - \frac{1}{1 + t^{2}} = \frac{t^{2}}{1 + t^{2}} \Rightarrow sinx = \frac{∣ t ∣}{\sqrt{1 + t^{2}}}