Find a positive coterminal angle for -225˚
135˚, 495˚, ...
Find the cosine of a 45º angle.
√2/2
What is π/3 in degrees?
60˚
Evaluate sin( π/4 )
√2/2
What is the sine of an angle?
-A ratio in a right triangle equivalent to the opposite side over the hypotenuse. -In a unit circle, it is the y-coordinate for any given point on the circle
Find a positive coterminal angle for -π/6
11π/6
What is the ratio of the side lengths of a 45º-45º-90º triangle?
x : x : x√2
What is 5π/4 in degrees?
225˚
Evaluate cos (11π/6)
√3/2
What is the cotangent of an angle?
-A ratio in a right triangle equivalent to the adjacent side over the opposite side. -A ratio equivalent to the reciprocal of the tangent of that angle -In a circle, it is the x-coordinate divided by the y-coordinate for any given point on the circle
In what quadrant is 4π/3 located?
Quadrant III
What are the ratios of the sides of a 30º-60º-90º triangle?
x : x√3 : 2x
What is 5π/6 in degrees?
150˚
Evaluate tan (3π / 4)
-1
What is a coterminal angle?
An angle that looks identical to another angle in standard position but whose terminal side has been rotated by a multiple of 360˚ or 2pi
Describe the pattern of radian angles in the 2nd quadrant.
The numerators are one less than the denominators.
What is the sine of a 30º angle?
1/2
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
Evaluate tan (π/2)
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What is a degree?
A unit of measure that is equivalent to an angle that subtends an arc that is 1/360th the circumference of a circle
Describe the pattern of radian angles in the 4th quadrant.
multiply the denominator by 2 and subtract 1 to get the numerator!
The lengths of the legs of a triangle are 24, 26, and 10. Is this a right triangle?
Yes-- 242 + 102 = 262
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
Evaluate tan (π)
0
What is a radian?
A radian is the measure of an angle that subtends an arc whose length is equivalent to the radius of the circle.