2006-09-10 17:45:53 · 5 answers · asked by Greg8325 2 in Education & Reference ➔ Higher Education (University +)
I don't know if you mean (tan theta) = -root (3) or
(-tan theta) = -root(3)
In the first case: 120 and 300
In the second case: 60 and 240
2006-09-10 17:54:37 · answer #1 · answered by Anonymous · 0⤊ 0⤋
First attempt to make certain the cost of Tan theta fixing that 2 degree eqn and then get Sec theta from the formula see^2 theta - Tan^2 theta =a million, then get Cos theta and then Sin theta from Sin^2 theta +Cos^2 theta =a million.
2016-11-26 00:32:41 · answer #2 · answered by ? 4 · 0⤊ 0⤋
If you know your 30-60-90 triangles, you'll recognize the side ratio: 1-.5-sqrt(3)/2. The ratio of the longer leg to the shorter leg is sqrt(3)/2 divided by 0.5, or simply sqrt(3).
tan = sin/cos, so we want a 30-60-90 triangle that's set up so that the sqrt(3)/2 side is sin theta, while the 1-side is cos theta. That's true for an angle of 60 degrees.
However, we want tan theta to be negative sqrt(3). Therefore, either sin is positive and cos negative, or vice versa. Therefore, we must be in either the second or fourth quadrants.
In the second quadrant, theta=120 degrees has a sin of sqrt(3)/2 and cosine of -0.5.
In the fourth quadrant, theta=300 degrees has a sin of -sqrt(3)/2 and cosine of 0.5
The correct answer is theta=120 degrees and 300 degrees.
2006-09-10 18:04:11 · answer #3 · answered by Bramblyspam 7 · 0⤊ 0⤋
Having problems with your homework??
Theta = 330 degrees and 150 degrees
2006-09-10 17:52:17 · answer #4 · answered by James 1 · 0⤊ 0⤋
you got problems with your homework huh...
you better study..
2006-09-10 17:58:28 · answer #5 · answered by dastringer_05 3 · 0⤊ 1⤋