# Values of Trig Functions

• Aug 17th 2006, 07:01 AM
Luckyjoshua
Values of Trig Functions
Theta=SinInverse(8/17)

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

Cos, Tan, Cot, Cos, Sec and Sin
• Aug 17th 2006, 07:36 AM
ThePerfectHacker
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,
$\displaystyle \theta=\sin^{-1}(8/17)$,
means that,
$\displaystyle \sin \theta=8/17$
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 $\displaystyle \sqrt{17^2-8^2}=\sqrt{289-64}=\sqrt{225}=15$
Code:

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