[PDF] Trig Cheat Sheet - Lamar University

MHF4U Unit 4 Trigonometry Student Notes

4 e) sec O E f) cot ˜O 0 Special Angles between 0 and 2 π are displayed on the unit circle below increments of π/4 (45 o) These special angles and the CAST rule

Trig Cheat Sheet - Lamar University

sec adjacent q= opposite tan adjacent q= adjacent cot opposite q= Unit circle definition For this definition q is any angle sin 1 y q==y 1 csc y q= cos 1 x q==x 1 sec x q= tan y x q= cot x y q= Facts and Properties Domain The domain is all the values of q that can be plugged into the function sinq, q can be any angle cosq, q can be any angle

An Introduction to Trigonometry

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0< <

20< <90

() =y

1=y() =1

y () =x

1=x() =1

x () =y x() =x y ()6= n+1 2 ; n= 0;1;2;::: ()6=n; n= 0;1;2;::: ()6= n+1 2 ; n= 0;1;2;::: ()6=n; n= 0;1;2;::: T f(+T) =f() ! (! )!T=2 (! )!T=2 (! )!T= (! )!T=2 (! )!T=2 (! )!T=

1()11()1

1<()<1 1<()<1

()1() 1()1() 1 () =1 ()() =1 () =1 ()() =1 () =1 ()() =1

2() +2() = 1

2() + 1 =2()

1 +2() =2()

n (+ 2n) =()(+ 2n) =() (+ 2n) =()(+ 2n) =() (+n) =()(+n) =() x t 180=t
x)t=x

180x=180t

(2) = 2()() (2) =2()2() = 22()1 = 122() (2) =2() 12() 2 r1() 2 2 r1 +() 2 2 s 1() 1 +()

2() =1

2(1(2))

2() =1

2(1 +(2))2() =1(2)

1 +(2)

1()() ()() =1

2[()(+)]

()() =1

2[() +(+)]

()() =1

2[(+) +()]

()() =1

2[(+)()]

() +() = 2 2 2 ()() = 2 2 2 ()+() = 2 2 2 ()() =2 2 2 2 2 2 2 2 2 (x;y) () =x () =y 5 3 =1 2 5 3 p3 2 y=1(x) x=(y) y=1(x) x=(y) y=1(x) x=(y) y=1(x)1x1 2y 2 y=1(x)1x1 0y y=1(x)1< x <1

2< y <

2

1(x)=x1(()) =

1(x)=x1(()) =

1(x)=x1(()) =

1(x) =(x)

1(x) =(x)

1(x) =(x)

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