Volume 1: Trigonometric Identities

This is Volume 1 of Trigonometric Identities. This set of flashcards will revolve around the sine function. Have fun!

sin(a+b)

sin(a)*cos(b)+cos(a)*sin(b)

sin(a-b)

sin(a)*cos(b)-cos(a)*sin(b)

sin(2a)

2*sin(a)*cos(a)

arcsin(a) or sin^-1(a)

The inverse of the sine function

Odd

The parity of the sine function

csc(a) or cosec(a)

The reciprocal of the sine function

0

The sine of 0

1/2

The sine of 30 or pi/6

sqrt(2)/2

The sine of 45 or pi/4

sqrt(3)/2

The sine of 60 or pi/3

1

The sine of 90 or pi/2

sinⁿ(a), n is unequal to -1

(sin(a))ⁿ

y-axis

The axis of the sine function

sin(-a) = -sin(a)

Even property of the sine function

opposite/hypotenuse

Definition of the sine function in a right triangle

sinh(a)

The hyperbolic sine function

hypotenuse/opposite

Definition of the cosecant function in a right triangle

2*pi

The period of the sine function

Sinusoidal functions

Functions in the form of a*sin(bx+c)+d or a*cos(bx+c)+d

Law of Sines

a/sin(A)=b/sin(B)=c/sin(C)