What (Squad)rant?/ Coterminal Angels
Cosine is positive here, but Sine is not.
Quadrant IV
Csc(120)
2squareroot(3)/3
Sin(-180)
0
cot(x)* sin(x)
Cos(x)
What is the Pythagorean identity?
sin^2(x)+cos^2(x)
Give me a positive and a negative coterminal angle for 315 degrees.
675 & -45
Sec(300)
2
Cos(135)
-squareroot(2)/2
cos^2(x)*tan(x)*Sec(x)
Sin(x)
What Trig function and corresponding angle is equal to Sin(23) and why?
Cos(67): they are cofunctions and 23 and 67 are complementary angles (add up to 90)
Sec is negative and Csc is positive here.
Quadrant II
Cot(pi/3)
square root(3)/3
Tan(-510)
squareroot(3)/3
1/[csc(x)*cos(x)]
Tan(x)
Daily Double:
If the terminal side of theta is in Quadrant III and Sin=-3/8, find Cos and Tan, using the Pythagorean Identity.
-squareroot(55)/8 (negative because it is in quadrant III)
[3squareroot(55)]/55
I am in between 3pi/2 and 2pi.
Quadrant IV
Sec(7pi/6)
-2squareroot(3)/3
Cos(5pi/4)
-squareroot(2)/2
[tan^2(x)+1]/ csc^2(x)
Tan^2(x)
If the terminal side of theta is at the point (4,-3), find Cos.
-3/5
Daily Double:
Find a negative coterminal angle for 8pi/3.
What is a reference angle?
-4pi/3
The angle inside the triangle
Csc(5pi/2)
1
Tan(-2pi)
0
[sin^2(x)+cos^2(x)]/sec(x)
Cos(x)
If the terminal side of theta is in quadrant II and we know Cos=-2/7, find Sin.
squareroot(45)/7