हिंदी

Select the correct option from the given alternatives: tantan2tan-1(13)+tan-1(17)=_____ - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Select the correct option from the given alternatives:

`2 "tan"^-1 (1/3) + "tan"^-1 (1/7) =` _____

विकल्प

  • `"tan"^-1(4/5)`

  • `pi/2`

  • 1

  • `pi/4`

MCQ

उत्तर

`2 "tan"^-1 (1/3) + "tan"^-1 (1/7) = pi/4`.

shaalaa.com
Trigonometric Equations and Their Solutions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.15 | पृष्ठ १०८

संबंधित प्रश्न

Find the general solution of the following equation :

cosθ = `sqrt(3)/(2)`


Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`


Find the general solution of the following equation:

cosec θ = - √2.


Find the general solution of the following equation:

tan θ = - 1


Find the general solution of the following equation:

tan `(2θ)/(3) = sqrt3`.


Find the general solution of the following equation:

cot 4θ = – 1


Find the general solution of the following equation:

4sin2θ = 1.


Find the general solution of the following equation:

cos 4θ = cos 2θ


Find the general solution of the following equation: 

tan3θ = 3 tanθ.


In Δ ABC, prove that a3 sin(B – C) + b3sin(C – A) + c3sin(A – B) = 0


In ΔABC, if a cos A = b cos B then prove that the triangle is either a right angled or an isosceles traingle.


With usual notations prove that 2(bc cosA + ac cosB + ab cosC) = a2 + b2 + c.


Select the correct option from the given alternatives:

The principal solutions of equation sin θ = `- 1/2` are ______.


Select the correct option from the given alternatives:

The principal solutions of equation cot θ = `sqrt3` are ______.


Select the correct option from the given alternatives:

In ΔABC if c2 + a2 – b2 = ac, then ∠B = ____.


Select the correct option from the given alternatives:

If `"sin"^-1 4/5 + "cos"^-1 12/13 = "sin"^-1 alpha`, then α = ______


`"cos"["tan"^-1 1/3 + "tan"^-1 1/2]` = ______


Find the principal solutions of the following equation:

tan 3θ = - 1


Find the general solutions of the following equation:

sin2 θ - cos2 θ = 1


In ΔABC, prove that `("a - b")^2 cos^2  "C"/2 + ("a + b")^2 sin^2  "C"/2 = "c"^2`


Show that `tan^-1  1/2 - tan^-1  1/4 = tan^-1  2/9`.


Show that `2 cot^(-1)  3/2 +  sec^(-1)  13/12 = π/2`


The principal solutions of `sqrt(3)` sec x − 2 = 0 are ______


Find the principal solutions of cos 2𝑥 = 1


If `|bar"a"|` = 10, `|bar"b"| = 2`, then `sqrt(|bar"a" xx bar"b"|^2 + |bar"a"*bar"b"|^2)` = ?


If f(x) = sin-1`(sqrt((1 - x)/2))`, then f'(x) = ?


The principal solutions of cot x = `sqrt3` are ______.


The number of solutions of `sin^2 theta = 1/2` in [0, π] is ______.


The value of sin 18° is ______.


The value of θ in (π, 2π) satisfying the equation sin2θ - cos2θ = 1 is ______ 


The measure of the angle between lines (sin2θ - 1)x2 - 2xy cos2θ + cos2θy2 = 0 is ______ 


The general solution of the equation tan θ tan 2θ = 1 is given by ______ 


The general solution of 4sin2 x = 1 is ______.


The equation 3sin2x + 10 cos x – 6 = 0 is satisfied, if ______.


The general solution of the equation tan2 x = 1 is ______.


With usual notations, in any ΔABC, if a cos B = b cos A, then the triangle is ______.


If tan θ + sec θ = `sqrt(3)`, find the general value of θ.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×