मराठी

Evaluate the Following: `Tan^-1(Tan (7pi)/6)` - Mathematics

Advertisements
Advertisements

प्रश्न

Evaluate the following:

`tan^-1(tan  (7pi)/6)`

उत्तर

We know that

`tan^-1(tantheta)=theta,   -pi/2<theta<pi/2`

We have 

`tan^-1(tan  (7pi)/6)=tan^-1[tan(pi+pi/6)]`

`=tan^-1[tan(pi/6)]`

`=pi/6`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Inverse Trigonometric Functions - Exercise 4.07 [पृष्ठ ४२]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
पाठ 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 3.3 | पृष्ठ ४२

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Solve the equation for x:sin1x+sin1(1x)=cos1x


`sin^-1(sin  pi/6)`


`sin^-1(sin  (5pi)/6)`


`sin^-1{(sin - (17pi)/8)}`


Evaluate the following:

`cos^-1{cos  (13pi)/6}`


Evaluate the following:

`sec^-1(sec  (9pi)/5)`


Evaluate the following:

`cosec^-1(cosec  (13pi)/6)`


Evaluate the following:

`cot^-1(cot  pi/3)`


Evaluate the following:

`cot^-1(cot  (9pi)/4)`


Evaluate the following:

`cot^-1{cot  ((21pi)/4)}`


Write the following in the simplest form:

`cot^-1  a/sqrt(x^2-a^2),|  x  | > a`


Write the following in the simplest form:

`sin^-1{(sqrt(1+x)+sqrt(1-x))/2},0<x<1`


Evaluate the following:

`cosec(cos^-1  3/5)`


Evaluate:

`cot{sec^-1(-13/5)}`


Evaluate:

`cosec{cot^-1(-12/5)}`


Evaluate:

`cot(tan^-1a+cot^-1a)`


`tan^-1x+2cot^-1x=(2x)/3`


`5tan^-1x+3cot^-1x=2x`


Solve the following equation for x:

`tan^-1((x-2)/(x-4))+tan^-1((x+2)/(x+4))=pi/4`


`sin^-1  5/13+cos^-1  3/5=tan^-1  63/16`


Solve the following:

`cos^-1x+sin^-1  x/2=π/6`


Find the value of the following:

`cos(sec^-1x+\text(cosec)^-1x),` | x | ≥ 1


If `sin^-1x+sin^-1y+sin^-1z=(3pi)/2,`  then write the value of x + y + z.


If x > 1, then write the value of sin−1 `((2x)/(1+x^2))` in terms of tan−1 x.


What is the value of cos−1 `(cos  (2x)/3)+sin^-1(sin  (2x)/3)?`


Write the range of tan−1 x.


Write the value of sin1 (sin 1550°).


Evaluate sin \[\left( \tan^{- 1} \frac{3}{4} \right)\]


Write the value of cos−1 (cos 6).


Write the value of \[\tan^{- 1} \frac{a}{b} - \tan^{- 1} \left( \frac{a - b}{a + b} \right)\]


If \[\sin^{- 1} \left( \frac{1}{3} \right) + \cos^{- 1} x = \frac{\pi}{2},\] then find x.

 


What is the principal value of `sin^-1(-sqrt3/2)?`


Write the principal value of `sin^-1(-1/2)`


Write the principal value of \[\cos^{- 1} \left( \cos680^\circ  \right)\]


If \[3\sin^{- 1} \left( \frac{2x}{1 + x^2} \right) - 4 \cos^{- 1} \left( \frac{1 - x^2}{1 + x^2} \right) + 2 \tan^{- 1} \left( \frac{2x}{1 - x^2} \right) = \frac{\pi}{3}\] is equal to

 


It \[\tan^{- 1} \frac{x + 1}{x - 1} + \tan^{- 1} \frac{x - 1}{x} = \tan^{- 1}\]   (−7), then the value of x is

 


If \[\cos^{- 1} x > \sin^{- 1} x\], then


If x = a (2θ – sin 2θ) and y = a (1 – cos 2θ), find \[\frac{dy}{dx}\] When  \[\theta = \frac{\pi}{3}\] .


Find the value of `sin^-1(cos((33π)/5))`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×