Trigonometry

Description

A variety of Trigonometric identities and defintions.
planetbethany
Flashcards by planetbethany, updated more than 1 year ago
planetbethany
Created by planetbethany almost 10 years ago
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Resource summary

Question Answer
Sinθ Opposite/Hypotenuse
Cosθ Adjacent/Hypotenuse
Tanθ Opposite/Adjacent
Secθ Hypotenuse/Adjacent
Cosecθ Hypotenuse/Opposite
Cotθ Adjacent/Opposite
Reciprocal of Sinθ 1/cosecθ
Reciprocal of Cosθ 1/secθ
Reciprocal of Tanθ 1/cotθ OR sinθ/cosθ
Reciprocal of Secθ 1/cosθ
Reciprocal of Cosecθ 1/sinθ
Reciprocal of Cotθ 1/tanθ OR cosθ/sinθ
Cosec^2(θ) Cot^2(θ) + 1
Sec^2(θ) 1+tan^2(θ)
Complementary Angles Sum of two angles add up to 90dg
Polar Coordinates (x,y) become (r,θ)
Pythagoras' Theorem x^2+y^2=r^2
30dg pi/6 rad
45dg pi/4 rad
60dg pi/3 rad
90dg pi/2 rad
180 dg pi
360dg 2pi
1 rad 180/pi
1 is equal to cos^2x+sin^2x
Cos(A+B)= CosACosB - SinASinB
Sin(A+B)= SinACosB+CosASinB
Tan(A+B)= TanA+TanB/1-TanATanB
State the definition of A,B,C and D: y=Asin(Bx+C)+D A- Amplitude, B=Period (2pi/B), C- Horizontal Shift and D= Vertical Shift
Sin(2a) 2sinacosa
Cos(2a) in terms of Cos and Sin Cos^2a-Sin^2a
Cos(2a) in terms of Sin 1-2sin^2a
Cos(2a) in terms of Cos 2Cos^2a-1
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