Values of Trig Functions

Quote:

Originally Posted by Luckyjoshua

Theta=SinInverse(8/17)

Find the values of the 6 Trigonometric Functions.....

Cos, Tan, Cot, Cos, Sec and Sin

Here is an easy method,
Since,
$\theta=\sin^{-1}(8/17)$ ,
means that,
$\sin \theta=8/17$
Thus, the sine of an angle in the triangle is 8/17 whenever its opposite side is 8 and hypotenuse 17, that means the remaing side is $\sqrt{17^2-8^2}=\sqrt{289-64}=\sqrt{225}=15$

Code:

/| / | 17 8 / | / | / | *-----* 15

Now use the definitions of the six trigonomteric functions and you get,
$\left\{ \begin{array}{c}\sin \theta=8/17\\ \cos \theta=15/17\\ \tan \theta=8/15\\ \csc \theta = 17/8\\ \sec \theta = 17/5\\ \cot \theta=15/8$