00:01
Okay, so first question, find the remaining trig functions if second of theta equals three.
00:07
Okay, so we know that second of theta actually equals one over cosine of theta, which equals three.
00:15
So cosine of theta equals one third, okay? so we know theta is in quadrant, theta is in quadrant one or quadrant four, okay? so now if theta is in quadrant 1, okay, then we know sine of theta equals square root of 1 minus cosine of theta squared, which i got 2 times squared 2 over 3, okay? and we know that tangent of theta equals sine of theta over cosine of theta.
01:06
So i got this is 2 times squared of 2, okay? and we know cacincent of theta equals 2 times square of 2, sorry, 3 over 2 times square of 2 or 3 over 4 times square of 2.
01:29
And the contangenta of theta equals 1 over 2 times square of 2 or square of 2 over 4.
01:51
If theta is in quadrant 4, theta is in quadrant 4, then we have sine of theta equals minus 2 times 2 over 3, tangent of theta equals minus 2 times square of 2.
02:11
The second of theta equals minus 3 over 4 times square of 2, and the contendant of theta equals minus square of 2 over 4.
02:21
Okay.
02:24
Now for problem number two, let's multiply and simplify the following, okay? cosign of theta minus sine of theta squared.
02:34
This equals cosine of theta squared minus two times sine of theta cosine of theta plus sine of theta squared.
02:46
Okay...