Find the values of the six trigonometric functions for the a

Find the values of the six trigonometric functions for the angle theta. sin theta = cos theta = tan theta = csc theta = sec theta = cot theta =

Solution

Here opposite=b and hypotenuse=c

Adjacent=sqrt(c^2-b^2)

Sin theta=opposite/hypotenuse=b/c

Cos theta=adjacent/hypotenuse=sqrt(c^2-b^2)/c

Tan theta=sin theta/cos theta=b/sqrt(c^2-b^2)

Cot theta=1/tan theta=sqrt(c^2-b^2)/b

Sec theta=1/cos theta=c/sqrt(c^2-b^2)

Csc theta=1/sin theta=c/b