Evaluate the following:1. `sin^(-1)(s i n(2pi)/3)`2. `cos^(-1)(c o s(7pi)/6)`3. `tan^(-1)(t a n(2pi)/3)`

Evaluate the following:1. `sin^(-1)(s i n(2pi)/3)`2. `cos^(-1)(c o s(7

1.	Evaluate the following:1. `sin^(-1)(s i n(2pi)/3)`2. `cos^(-1)(c o s(7pi)/6)`3. `tan^(-1)(t a n(2pi)/3)`
Answer» 1)`sin^(-1)sin(2/3pi)` `sin^(-1)sintheta=theta` `sin^(-1)sin(pi-pi/3)` `sin^(-1)sin(pi/3)` `pi/3` 2)`cos^(-1)cos(7/6pi)` `cos^(-1)cos(2pi-(2lambda)/6)` `cos^(-1)cos(5/6pi)` `5/6pi` 3)`tan^(-1)tan(2/3pi)` `tan^(-1)(tan(pi-2/3pi))` `tan^(-1)(-tanpi/3)` `-pi/3`.

`tan^(-1)[(cosx)/(1+sinx)]`is equal to`pi/4-x/2,forx in (-pi/2,(3pi)/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-(3pi)/2,pi/2)`
The value of `sin^(-1)(sin12)+sin^(-1)(cos12)=`
Find the principal value of `sin^(-1)(-1/sqrt2)-2tan^(-1)(-sqrt3)+cos^(-1)(-1/2)`.
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The value of the expression `sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)+tan^(-1)(tan(5pi)/7)+sin^(-1)(cos2)`is(a) `(17pi)/(42)-2`(b) `-2`(c)`(-pi)/(21)-2`(d) `non eoft h e s e`
The domain of definition of f(X) = `sin^(-1)(-x^(2))` isA. `[-1,1]`B. `[0,1]`C. `[-1,0]`D. `[-2,23]`
If `x , y , z in [-1,1]`such that `sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/2,`find the value of `x^2+y^2+z^2dot`A. 1B. 3C. `(3pi^(23))/(4)`D. `3pi^(2)`
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The value of `cos^(-1)(cos(5pi)/3)+sin^(-1)(sin(5pi)/3)`is`pi/2`(b) `(5pi)/3`(c) `(10pi)/3`(d) 0
Find the principal value of `sin^(-1)(-1/sqrt2)+tan^(-1)(-1/sqrt3)+sec^(-1)(2)`