##### Trig 2
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#### Complete list of Terms and Definitions for Trig 2

Terms Definitions
cotx cosx/sinx
csc 1/sinx
tan 1/cot
tan(x+y) (tan(x)+tan(y))/(1-tan(x)tan(y))
sin(x-y) sin(x)cos(y)-cos(x)sin(y)
cosh(x) cosh(-x)
sinh(-x) -sinh(x)
tan (quotient) sinx/cosx
cos((pi/2)-x) sin x
cot((pi/2)-x) tan x
tan2x 2tanx / 1-tan^2x
cos(2x) 1-2(sinx)^2 = 2((cosx)^2)-1
(cosx)^2 (1+cos2x) / 2
d(cot(x)) d(cot(x) = &#8211;csc2(x)
sinxcosy - cosxsiny sin(x-y)
cos(x-y) cosxcosy + sinxsiny
1 - 2sin²x cos(2x)
cosxcosy - sinxsiny cos(x+y)
1+cot^2 x csc^2 x
cos x 1/sec x
csc _x_ 1/sin _x_
sec²x = tanx + 1
sin (A/2) = ? _____________ &plusmn;&radic;&frac12;(1 - cos A)
1 - cos(2x) ---------------- = 2 sin²x
tan _x_ sin _x_ /cos _x_
&#8747;(1/&#8730;a2 &#8211; x2)dx &#8747;(1/&#8730;a2 &#8211; x2)dx = (1/a)sin&#8211;1(x/a) + c
sin (-x)=csc (-x) = -sin x (odd)- csc x
sin (2 A) = ? ? = 2 sin A cos A
sin 45 sqrt2/2
tan 0 z
sin 0 z
cos 45 sqrt2/2
angle of elevation angle above horizontal
angle of depression angle below horizontal
coterminal angles which share a terminal side
amplitude half the difference between the minimum and maximum values of range
reciprocal identities Trig identities defining cosecant, secant, and cotangent in terms of sine, cosine, and tangent
phase shift horizontal shift for a periodic function
pythagorean identities identities relating sine with cosine, tangent with secant, and cotangent with cosecant
cofunction identities relationship between sine and cosine, tangent and cotangent, and secant and cosecant
degree unit of angle measurement equal to a complete revolution
odd even identities Trig identities which show whether each trig function is odd or even
asymptotes line whose distance to a given curve tends to zero
secant line intersecting a curve at two or more points
product sum identities Trig identities showing how to rewrite products of sines and cosines as sums
inverse secant function solved by asking which angle has secant equal to 2
cosine the sine of the complement of a given angle or arc
inverse cosecant function solved by asking which angle has cosecant equal to 2
quadrantal angle angle with terminal side on the x axis or y axis
sector of a circle part of the interior of a circle bounded by two radii and an arc