हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: tan-1(14)+tan-1(29) is equal to - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

`tan^-1 (1/4) + tan^-1 (2/9)` is equal to

विकल्प

  • `1/2 cos^-1 (3/5)`

  • `1/2 sin^-1 (3/5)`

  • `1/2 tan^-1 (3/5)`

  • `tan^-1 (1/2)`

MCQ
Advertisements

उत्तर

`tan^-1 (1/2)`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Inverse Trigonometric Functions - Exercise 4.6 [पृष्ठ १६७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 10 | पृष्ठ १६७

संबंधित प्रश्न

Find the value of the given expression.

`tan^(-1) (tan  (3pi)/4)`


Find the value of the given expression.

`tan(sin^(-1)  3/5 + cot^(-1)  3/2)`


Prove that:

`cos^(-1)  4/5 + cos^(-1)  12/13 = cos^(-1)  33/65`


Prove `tan^(-1)   1/5 + tan^(-1)  (1/7) + tan^(-1)  1/3 + tan^(-1)  1/8 = pi/4`


sin–1 (1 – x) – 2 sin–1 x = `pi/2`, then x is equal to ______.


Find the number of solutions of the equation `tan^-1 (x - 1) + tan^-1x + tan^-1(x + 1) = tan^-1(3x)`


Choose the correct alternative:

If `sin^-1x + cot^-1 (1/2) = pi/2`, then x is equal to


Show that `2tan^-1 {tan  alpha/2 * tan(pi/4 - beta/2)} = tan^-1  (sin alpha cos beta)/(cosalpha + sinbeta)`


The value of the expression `tan (1/2 cos^-1  2/sqrt(5))` is ______.


If cos–1α + cos–1β + cos–1γ = 3π, then α(β + γ) + β(γ + α) + γ(α + β) equals ______.


If y = `2 tan^-1x + sin^-1 ((2x)/(1 + x^2))` for all x, then ______ < y < ______.


The value of cos215° - cos230° + cos245° - cos260° + cos275° is ______.


Solve for x : `"sin"^-1  2 "x" + sin^-1  3"x" = pi/3`


The domain of the function defind by f(x) `= "sin"^-1 sqrt("x" - 1)` is ____________.


`"cos"^-1["cos"(2"cot"^-1(sqrt2 - 1))]` = ____________.


`"sin"^-1 ((-1)/2)`


Solve for x : `{"x cos" ("cot"^-1 "x") + "sin" ("cot"^-1 "x")}^2` = `51/50


The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. “A” is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely C, D and E. “C” is at the height of 10 metres from the ground level. For viewer A, the angle of elevation of “D” is double the angle of elevation of “C” The angle of elevation of “E” is triple the angle of elevation of “C” for the same viewer. Look at the figure given and based on the above information answer the following:

Measure of ∠EAB = ________.


`50tan(3tan^-1(1/2) + 2cos^-1(1/sqrt(5))) + 4sqrt(2) tan(1/2tan^-1(2sqrt(2)))` is equal to ______.


If \[\tan^{-1}\left(\frac{x}{2}\right)+\tan^{-1}\left(\frac{y}{2}\right)+\tan^{-1}\left(\frac{z}{2}\right)=\frac{\pi}{2}\]  then xy + yz + zx =


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×