Theta

**Dragon** · February 24th 2008, 08:04 AM

Point P is on the terminal side of angle theta. Evaluate the six trigonometric function of theta.

A.(12,7)
B.(4,9)

**TheEmptySet** · February 24th 2008, 08:14 AM

Originally Posted by Dragon

Point P is on the terminal side of angle theta. Evaluate the six trigonometric function of theta.

A.(12,7)
B.(4,9)

This creates a right triangle with one vertex at the origin..

using the pythagorean theorem

$12^2+7^2=c^2$

$144+49=c^2$

so...

$\sqrt{203}=c$

using the defintion of the trig functions...

$sin(\theta)=\frac{opposite}{hypotenuse}=\frac{7}{\ sqrt{203}}$

all of the others can be solved in a similar fashion

**Dragon** · February 24th 2008, 08:16 AM

does the other one also make another right triangle ?

**TheEmptySet** · February 24th 2008, 08:17 AM

Yes try drawing a graph. Both will be right triangles.

You can draw a reference triangle for any point in the xy plane...

always draw the perpendicular to the x-axis. The hypotenuse will always be the line segment from the origin to the point.

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