which is greater tan 1 or tan inverse 1? and why?

multi correct ans.type Q.

Q.y=tan^-1(2tan^2 y)-tan^-1(1/3tany),then tany is equal

a.-2 b.1 c.2/3 d.2

Q.if sin[2cos^-1{cot(2tan^-1 x)}]=0,where x is greater than 0 ,then

a.x=1 b.x=root(2)+1 c.x=root(2)-1 d.x=3

Prove that tan^-1(2x)-tan^-1(3x)=pi/4

provethat cos(_sin-1 3/5 + _cot-1 3/2) = 6/5 root 13

_tan-1(3sin2x/5+3cos2x) + _tan-1(1/4tanx)

tan^-1(1/3) +tan^-1(1/7) + tan^-1(1/13) +........................... to =/4

I need the steps for the above problem

Simplest Form :-Cot inv(sqrt( 1 + cos3x / 1 - cos3x) )

Write the range of one branch of :-
1. sin^-1x, other than the principal value branch.
2. cos^-1x, other than the principal value branch.

Please provide numerical answer with an explanation.

Solve the following equations simultaneouslySin^-1x + sin^-1y = (2pi/3) and cos^-1x + cos^-1y = (pi/3)

if 3 tan^-1 (1/2+√3) - tan^-1 1/x = tan^-1 1/3 then what is the value of x

what is the value of sin(1/2 cos^_-14/5)

Q.solve sin^-1 (sin (2x^2 +4/1+x^2)) less than (pi-3).

respected sir ,many times i have put less than sign,but as i have post my question ,thesign has lost.so what should i do,so that you can read easily my question.

If in any triangle ABC, angle C=105, angle B=45, a=2, then find b.

2tan^-1 (-3) is equal to a. -cos^-1 (-4/5) b.-pi+cos^-1 (4/5) c.-pi/2 +tan^-1(-4/3) d.cot^-1(4/3)

How to find out a trigonometric inverse of any given number ? Eg- sin^-1(0.1308)

Solve :cos-1(sin(cos-1x))=60 degrees

If sin¹ 4/5 cos¹ 15/17= tan¹ 2X/1-X², then x = ?

lim( x tends to /4) √2cosx - 1/cotx - 1

tan-1(1/2tanx)=

sin-1(1/3tan4/5)=

tan(inverse){1+tan(theta)}

1-tan(theta)

Show that sin^-1 12/13 + cos^-1 4/5 + tan^-1 63/16 = . Explain with simple steps.

^{sin a sin b sin c + cos a cos b = 1 find sin c}

tan inverse of x= sin inverse of (x/root of 1+xsquare) how?

multiple choice correct ans type question-Q.find 2tan^-1 (-3) is equal to

a. -cos^-1 (-4/5) b.-pi+cos^-1 (4/5) c.-pi/2 +tan^-1(-4/3) d.cot^-1(4/3)

plz ans fast

how we cancel sin by arcsin?

and also arcsin is not the reciprocal of sin...

solve

sin inverse 4/5 - cos inverse 15/17 = tan inverse 2x/1-x square

What is the total number of non-commutative binary operations on a finite set S having 10 elements?

Explain how Total number of commutative binary operations on S =View Raw Image" src="http://oi59.tinypic.com/2zqrkls.jpg" id="TB_Image" height="33" width="41"View Raw Image" View Raw Image"

what is the domain of f(x)=cos (inverse) x + cot(inverse) x +cosec(inverse) x

1) sin inverse (4/5) +sin inverse (5/13) +sin inverse (6/25)=90