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Help with my precalc?
I'm stumped on a few of my problems, any help is appreciated!
Please explain like I'm a dumbass.
Find the exact value: sin (arc tan 3)
Evaluate: csc(arc cos x/5)
Find all solutions in the interval [o,2pi) : 3tanx-3=0
Find all solutions in the interval: [0,2pi): 6sin2x-2=0
1 Answer
- norcekriLv 78 years agoFavorite Answer
In all cases, draw the right triangle indicated.
For the first one, you're given that the angle's tangent is 3 -- so you draw a triangle with an opposite side of 3, an adjacent side of 1. In other words, the hypotenuse goes from the origin to the point (1, 3).
Use the Pythagorean formula to compute the missing side. In this case, it's the hypotenuse of √10.
Now you have all three sides labelled, and you can find any function of the angle.
They ask for the sin, which you simply read off the sides: 3/√10
You may need to rationalize the ratio, but I assume you can take it from there.
See how it works?
