मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Choose the correct alternative: If cot-1(sinα)+tan-1(sinα) = u, then cos 2u is equal to - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

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

पर्याय

  • tan2α

  • 0

  • – 1

  • tan 2α

MCQ

उत्तर

– 1

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Inverse Trigonometric Functions - Exercise 4.6 [पृष्ठ १६८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 15 | 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`

 
 
 

Find the value of `cot(tan^(-1) a + cot^(-1) a)`


Prove that:

`cos^(-1)  12/13 + sin^(-1)  3/5 = sin^(-1)  56/65`


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


Find the value, if it exists. If not, give the reason for non-existence

`tan^-1(sin(- (5pi)/2))`


Find the value of `cot[sin^-1  3/5 + sin^-1  4/5]`


Solve: `2tan^-1 (cos x) = tan^-1 (2"cosec"  x)`


Prove that `2sin^-1  3/5 - tan^-1  17/31 = pi/4`


Solve the equation `sin^-1 6x + sin^-1 6sqrt(3)x = - pi/2`


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


Evaluate `cos[cos^-1 ((-sqrt(3))/2) + pi/6]`


Prove that `sin^-1  8/17 + sin^-1  3/5 = sin^-1  7/85`


Show that `tan(1/2 sin^-1  3/4) = (4 - sqrt(7))/3` and justify why the other value `(4 + sqrt(7))/3` is ignored?


The value of `"tan"^-1 (1/2) + "tan"^-1 (1/3) + "tan"^-1 (7/8)` is ____________.


If `"tan"^-1 ("cot"  theta) = 2theta, "then"  theta` is equal to ____________.


If `"tan"^-1 (("x" - 1)/("x" + 2)) + "tan"^-1 (("x" + 1)/("x" + 2)) = pi/4,` then x is equal to ____________.


The value of `"tan"^-1 (3/4) + "tan"^-1 (1/7)` is ____________.


The value of `"cos"^-1 ("cos" ((33pi)/5))` is ____________.


If `tan^-1 ((x - 1)/(x + 1)) + tan^-1 ((2x - 1)/(2x + 1)) = tan^-1 (23/36)` = then prove that 24x2 – 23x – 12 = 0


Solve:

sin–1(x) + sin–1(1 – x) = cos–1x.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×