Trigonometry ( bridging the gap )  Exact values Flashcards
CAST
Relationship of 2nd quadrant
Sin
sin ( 180  x ) = sin x
sin (180 + x ) =  sin x
sin ( 360  x) =  sin x
CAST
Relationship of 4th quadrant
cos
cos ( 180  x ) =  cos x
cos (180 + x ) =  cos x
cos ( 360  x) = cos x
CAST
Relationship of 3rd quadrant
tan
tan ( 180  x ) =  tan x
tan (180 + x ) = tan x
tan ( 360  x) =  tan x
right angled triangle are considered ..
to complementary
q
sinx =  = cos ( 90  x ) and
r
q cosx =  = sin ( 90  x ) r
Exact values for sin 30 ..
1

2
Exact values for sin 45…
1

√ 2
Exact values for sin 60 …
√3

2
Exact values for cos 30 ..
√3

2
Exact values for cos 45…
1

√ 2
Exact values for cos 60 …
1

2
Exact values for tan 30 ..
1

√ 3
Exact values for tan 45…
1
Exact values for tan 60 …
√ 3
Exact values for sin 90 …
1
Exact values for cos 90 …
0