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16 Cards in this Set
- Front
- Back
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What is trigonometry about?
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right triangles, specifically angles within the triangle.
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Mnemonic: SOHCAHTOA
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Sin=Opposite/Hypotenuse
Cosine=Adjacent/Hyptoneuse Tangent=Opposite/Adjacent |
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What can we determine with SOHCAHTOA?
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lengths of sides of trianges.
Ex. if sine=.5 and opposite=8, what is the hypotenuse? sin0=Opposite/Hypotenus-->.5=8/x-->x=8/.5 |
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What is the mathematical abbreviation for Cotangent, Secant and Cosecant?
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Cot, Sec, Csc
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What are the reciprocals of Sine, Cosine, Tangent?
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Sine=Cosecant=Hypotenuse/Opposite
Cosine=Secant=Hypotenuse/Adjacent Tangent=Cotangent=Adjacent/Opposite |
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Answer the following:
sin^2 x + cos^2 x = ? tan2 x + 1 = ? 1 + cot^2 x =? |
sin^2 x + cos^2 x = 1,
tan2 x + 1 = sec^2 x 1 + cot^2 x = csc^2 x |
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Simply sin^2 x + 5cos^2 x?
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Simply sin^2 x + 5cos^2 x =
5 (sin^2 x + cos^2 x) = 5(1) |
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2(pi) radians is equal to?
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360 degrees
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If finding how many degrees in a given number of radians, use this formula?
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x / (given # of radians) = 360/2pi = 180/pi degrees
x=# of degrees |
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If finding how many radians in a given # of degrees - what formula is used?
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y/(given # of degrees)=2pi/360 = pi/180 rad
y=# of radians. |
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The graph of y=sin x repeats how often?
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every interval of length 360 degrees (or 2pi radians).
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The graph of y=cos x repeats how often?
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every 360 degrees or 2pi radians.
same as y=sin x |
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The graph of y=tan x repeats how often?
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every 180 degrees
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How do you get rid of irrational #'s such as 4/sqrt65?
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multiply 4/sqrt65 by sqr65/sqrt65 which eliminates the sqrt sign in denominator and which overall gives you 4sqrt65/65
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How do you solve for trig functions using basic calculator?
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1. make sure radians is selected.
2. input the number and than click the trig function desired. |
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In terms of unit circles, what are the new definitions of sin, cos, tan?
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sin0=y, cos0=x, tan=y/x
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