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Sine(theta)
opposite/hypothenuse
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Cosine(theta)
adjacent/Hypothenuse
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Tangent(theta)
opposite/adjacent
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Cosecant(theta)
hypothenuse/opposite
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Secant(theta)
hypothenuse/adjacent
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Cotangent(theta)
adjacent/opposite
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if t is any real number, what is cos t?
cos t = x
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if t is any real number, what is sin t?
sin t = y
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if t is any real number, what is tan t?
tan t = y/x, x cannot equal 0
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if t is any real number, what is csc t?
csc t = 1/y, y cannot equal 0
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if t is any real number, what is sec t?
sec t = 1/x, x cannot equal 0
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if t is any real number, what is cot t?
cot t = x/y, y cannot equal 0
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when P(x,y) are the points belonging to t, what are the corresponding trig functions on the unit circle?
P(x,y) = (cos t, sin t)
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What is the relationship between cos t and cos (-t)?
- they are always equal to each other.
- cos t = cos (-t)
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What is the relationship between sin t and sin (-t)?
- they are always equal to each other.
- sin t = sin (-t)
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What is the relationship between sin t and sin (t + 2pi)?
- they are always equal to each other
- sin t = sin (t + 2pi)
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What is the relationship between sin t and sin (t + pi)?
they are always opposite to each other
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What is the relationship between tan t and tan (t + pi)?
- they are always equal to each other
- tan t = tan (t + pi)
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What is the sum of (cos t)^2 + (sin t)^2?
(cos t)^2 + (sin t)^2 = 1
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What are the radian values for 30, 45, and 60 degrees?
- 30 degrees = pi/6
- 45 degrees = pi/4
- 60 degrees = pi/3
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