Question

express all trigonometric in terms of cos*alpha*

Answer 1

\[\cos \alpha\]

Answer 2

sin (alpha) = SQRT(1-cos^2(alpha))
tan (alpha) = SQRT(1-cos^2(alpha))/cos(alpha)

And so forth.....

Answer 3

isnt there a simple way? like cos(alpha) = tan/sen or something like that??

Answer 4

Not if you want to express in terms of cos.

tan = sin/cos
cot = cos/sin
sec = 1/cos
cosec = 1/sin

But, sin = SQRT(1-cos^2). So, all the rest have to follow that way.

Answer 5

Or, you can use this relationship between sin and cos:
sin(q)=cos(q- p/2) or equivalently cos(q)=sin(q+ p/2).