3. 1 1
1) sin sin sin sinx x and x x
Physics Helpline
L K Satapathy
1 1 1
sin (sin ) sin sin(sin ) sinx and x x
1 1
2) cos cos cos cosx x and x x
1 1 1
cos (cos ) cos cos(cos ) cosx and x x
1 1
3) tan tan tan tanx x and x x
1 1 1
tan (tan ) tan tan(tan ) tanx and x x
Concepts
Inverse Trigonometry 1
4. Physics Helpline
L K Satapathy
1 111) sin cosec x
x
1 112) cos sec x
x
1 113) tan cot x
x
1 1 11 1cosec cosec sin sin cosecx x x
x x
1 1 11 1sec sec cos cos secx x x
x x
1 1 11 1cot cot tan tan cotx x x
x x
Properties
Inverse Trigonometry 1
5. Physics Helpline
L K Satapathy
1 1
1) sin ( ) sinx x
1
sin sinLet x x
Properties
1 1 1 1
sin ( ) sin ( sin ) sin [sin( )] sinx x
1 1
2) cos ( ) cosx x
1
cos cosLet x x
1 1 1 1
cos ( ) cos ( cos ) cos [cos( )] cosx x
1 1
3) tan ( ) tanx x
1
tan tanLet x x
1 1 1 1
tan ( ) tan ( tan ) tan [tan( )] tanx x
Inverse Trigonometry 1
6. Physics Helpline
L K Satapathy
1 1
1) sin cos
2
x x
1
sin sinLet x x
Properties
1 1 1 1
cos cos (sin ) cos cos sin
2 2 2
x x
1 1
sin cos
2
x x
1 1
2) tan cot
2
x x
1
tan tanLet x x
1 1 1 1
cot cot (tan ) cot cot tan
2 2 2
x x
1 1
tan cot
2
x x
1 1
3) sec cosec
2
x x
1
sec secLet x x
1 1 1 1
cosec cosec (sec ) cosec cosec sec
2 2 2
x x
1 1
sec cosec
2
x x
Inverse Trigonometry 1
7. Physics Helpline
L K Satapathy
For More details:
www.physics-helpline.com
Subscribe our channel:
youtube.com/physics-helpline
Follow us on Facebook and Twitter:
facebook.com/physics-helpline
twitter.com/physics-helpline