Inverse trigonometric functions@Manoj kumar KV NAD SUNABEDA

 $What\ is\ the\ domain\ of\sin^{-1}x$  

(a)  

 $The\ value\ of\tan^{-1}(-1)$  

• π/4

• -π/4

• 3π/4

• -3π/4

 $Value\ of\cos^{-1}(\cos13π/6)$  

• -π/6

• π/6

• 5π/6

• -5π/6

 $\sin[π/3-\sin^{-1}(-1/2)]$  

• 1/4

• 1/2

• 1

• 0

 $\tan^{-1}[2\cos(2\sin^{-1}(1/2))]$  

• π/3

• -π/4

• 1

• π/4

 $\tan^{-1}(1/2)+\tan^{-1}(2/11)=$  

• tan^-1(3/4)

• tan^-1(4/3)

• tan^-1(5/3)

• tan^-1(4/5)

 $\cot[\tan^{-1}(b)+\cot^{-1}(b)]$  

• 0

• 1

• 2

• -2

 $\tan^{-1}(m/n)-\tan^{-1}[(m-n)/(m+n)]$  

• π/3

• π/4

• π/2

• -3π/4

Tags

CCSS.HSF.TF.C.9

 $\cos[\tan^{-1}(z)]$  

•  $z/√1+z^2$  

•  $1/√1-z^2$  

•  $1/√1+z^2$  

•  $z/√1-z^2$  

 $If\tan^{-1}(y)=X\ then$  

• 0<X<π

• -π<X<π

• -π/4<X<π/4

• -π/2<X<π/2