हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: sin–1(2 cos2x – 1) + cos–1(1 – 2 sin2x) = - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

sin–1(2 cos2x – 1) + cos1(1 – 2 sin2x) =

विकल्प

  • `pi/2`

  • `pi/3`

  • `pi/4`

  • `pi/6`

MCQ

उत्तर

`pi/2`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Inverse Trigonometric Functions - Exercise 4.6 [पृष्ठ १६८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 14 | पृष्ठ १६८

संबंधित प्रश्न

 
 
 

Prove that `tan^(-1)((6x-8x^3)/(1-12x^2))-tan^(-1)((4x)/(1-4x^2))=tan^(-1)2x;|2x|<1/sqrt3`

 
 
 

Write the function in the simplest form:  `tan^(-1)  ((cos x - sin x)/(cos x + sin x)) `,` 0 < x < pi`


Prove that:

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


Prove that `tan {pi/4 + 1/2 cos^(-1)  a/b} + tan {pi/4 - 1/2 cos^(-1)  a/b} = (2b)/a`


Solve for x : `tan^-1 ((2-"x")/(2+"x")) = (1)/(2)tan^-1  ("x")/(2), "x">0.`


Solve: `tan^-1x = cos^-1  (1 - "a"^2)/(1 + "a"^2) - cos^-1  (1 - "b"^2)/(1 + "b"^2), "a" > 0, "b" > 0`


Choose the correct alternative:

If `cot^-1(sqrt(sin alpha)) + tan^-1(sqrt(sin alpha))` = u, then cos 2u is equal to


Choose the correct alternative:

The equation tan–1x – cot1x = `tan^-1 (1/sqrt(3))` has


`"cot" (pi/4 - 2  "cot"^-1  3) =` ____________.


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


The value of sin (2tan-1 (0.75)) is equal to ____________.


The value of expression 2 `"sec"^-1  2 + "sin"^-1 (1/2)`


If tan-1 2x + tan-1 3x = `pi/4,` then x is ____________.


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


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


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


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


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


The set of all values of k for which (tan–1 x)3 + (cot–1 x)3 = kπ3, x ∈ R, is the internal ______.


`"tan" ^-1 sqrt3 - "cot"^-1 (- sqrt3)` is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×