Inverse Trigonometric Formulas, Summaries of Mathematics

here you can find all type of inverse vital trigonometric formulas

Typology: Summaries

2024/2025

Available from 05/27/2026

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INVERSE
TRIGONOMETRIC
FUNCTIONS
FORMULAS!
)
sin-
cose'
xx21orx
-1
)
cosseN;
x2
larxs
(u)
tan"-+cot
x,x<0
(i)
sin(-*)=-sin
x;xe|-4|
(üi)
cosec
(-x)
-cosec
x:
x|21
()
cos
-x)
=-cos
x;xe(-11)
(iii)
cot
(-x)
=
-
cot
x;xe
R
(0)
sinx+
cosx=
(ii)
cosee
x+
sec
x|x
|21
(6)
tan
x+
tan
y=
tan
()
tan
y
cotx;x>0
(i)
2
tan
x
sin
(v)
tan
y =
tan
(ui)
2
tanx=
tan
2cos'*
|-1|
"
(i)
tan
(-x)-tan
x;xe
R
()
sec
(-x)-
sec
x*|21
(ú)
tan
(u)
2
tanx=cos
1
'**co"x*eR
in'2x1-');s*s
br
2cos'
x
=
cos'2x'
-
D;0s
x
6)
sinx
+
sin'
y
=sin'
(x-y²
+
yt-x')
()
sin'x
-
sin'y
=
sin'(x1-y²
-yi-**)
(i)
cosx+
cos'
y
=
cosxy
---y²)
(iw)
cos'x
-
cosy
=cos(xy
+i-*²
1-y')

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INVERSE TRIGONOMETRIC

FUNCTIONS FORMULAS!

) sin-cose'xx21orx -1 ) cosseN; x2 larxs

(u) tan"-+cot x,x<

(i) sin(-*)=-sin x;xe|-4| (üi) cosec (-x) -cosec x: x| () cos -x)=-cos x;xe(-11) (iii) cot (-x) = - cot x;xe R (0) sinx+ cosx=

(ii) cosee x+ sec x|x |

(6) tan x+ tan y= tan

() tan y

cotx;x>

(i) 2 tan x sin

(v)

tan y = tan

(ui) 2 tanx= tan

2cos'*

"

(i) tan (-x)-tan x;xe R

() sec (-x)-sec x*|

(ú) tan

(u) 2 tanx=cos

1

'*co"xeR

in'2x1-');s*s br 2cos' x = cos'2x' - D;0s x

6) sinx + sin'y =sin' (x-y² + yt-x')

() sin'x - sin'y = sin'(x1-y² -yi-*) (i) cosx+ cos'y = cosxy---y²) (iw) cos'x - cosy =cos(xy +i-² 1-y')