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Radians and quadrants
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Can sin, cos and tan be used with ALL triangles?
No, only with right-angled triangles.
How many radians are in 45°?
Ï€/4
O is the centre of the circle. Find the value of x
Thales circle theorem says <ABC = 90*, so <x = 27*
Which trigonometric functions are POSITIVE in the 1st quadrant?
sine, cosine and tangent
Explain the Thales theorem.
If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°)
Is TANGENT in the 2nd quadrant positive or negative?
negative
Which trigonometric ratios are POSITIVE in the 4th quadrant?
cosine
Is SINE in the 3rd quadrant positive or negative?
negative
Which trigonometric ratios are POSITIVE in the 3rd quadrant?
tangent
How many radians does a circle have?
2Ï€ radians
How many degrees does a circle have?
360 degrees
Which quadrant is 2Ï€/3 in?
2nd quadrant
In what quadrant is 285°
4th quadrant
If you are given the hypotenuse and an adjacent side, which trigonometric function should you use?
cosine
What is 225 degrees in radians?
5Ï€/4
What is 240 degrees in radians?
4Ï€/3
What is π/3 radians in degrees?
60 degrees
What is 2Ï€/3 radians in degrees?
120 degrees
What is 7Ï€/4 radians in degrees?
315 degrees
What is 5Ï€/6 radians in degrees?
150 degrees
Find the red angle.
-1000 degrees
Find the red angle.
180 degrees
Find the red angle.
40 degrees
If <a is = 1 radian, what is the distance of the arc marked "?"
the same distance as radius, 1 unit


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