हिंदी

The principal solutions of 3 sec x − 2 = 0 are

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • `pi/3, (11pi)/6`

  • `pi/6, (11pi)/6`

  • `pi/4, (11pi)/4`

  • `pi/6, (11pi)/3`

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

`pi/6, (11pi)/6`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.3: Trigonometric Functions - MCQ

संबंधित प्रश्न

Find the principal solution of the following equation:

sin θ = `-1/2`


Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`


Find the general solution of the following equation:

sec θ = `sqrt(2)`.


Find the general solution of the following equation:

cosec θ = - √2.


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.


State whether the following equation have solution or not?

cos 2θ = – 1


State whether the following equation have solution or not?

3 tanθ = 5


In ΔABC, if ∠A = 45°, ∠B = 60° then find the ratio of its sides.


In ΔABC, prove that `sin(("B" − "C")/2) = (("b" − "c")/"a")cos  "A"/(2)`.


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 general solution of sec x = `sqrt(2)` is ______.


Select the correct option from the given alternatives:

If polar coordinates of a point are `(2, pi/4)`, then its cartesian coordinates are


If `sqrt3 cos x − sin x = 1`, then general value of x is ______.


Select the correct option from the given alternatives:

In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are


Select the correct option from the given alternatives:

The value of cot (tan-12x + cot-12x) is


The principal value of sin–1 `(- sqrt3/2)` is ______.


Select the correct option from the given alternatives:

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


Select the correct option from the given alternatives:

In any ΔABC, if acos B = bcos A, then the triangle is


Find the principal solutions of the following equation:

tan 3θ = - 1


Find the principal solutions of the following equation:

cot θ = 0


Find the general solutions of the following equation:

sin2 θ - cos2 θ = 1


In Δ ABC, if cos A = sin B - cos C then show that it is a right-angled triangle.


State whether the following equation has a solution or not?

3 sin θ = 5


Prove the following:

`cos^-1 "x" = pi + tan^-1 (sqrt(1 - "x"^2)/"x")`, if x < 0


If cos-1 x + cos-1y + cos-1z = 3π, then show that x2 + y2 + z2 + 2xyz = 1.


Find the principal solutions of cos 2𝑥 = 1


If tan-1 x + 2cot-1 x = `(5pi)/6`, then x is


If 4 sin-1x + 6 cos-1 x = 3π then x = ______.


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 ______ 


Which of the following is true in a triangle ABC?


The general value of θ in the equation `2sqrt(3) cos theta = tan theta` is ______.


If y = `(2sinα)/(1 + cosα + sinα)`, then value of `(1 - cos α + sin α)/(1 + sin α)` is ______.


The general solution of the equation tan θ + tan 4θ + tan 7θ = tan θ tan 4θ tan 7θ is ______.


General solution of the equation sin 2x – sin 4x + sin 6x = 0 is ______.


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


If a = sin θ + cos θ, b = sin3 θ + cos3 θ, then ______.


The general solution of sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is ______.


Prove that the general solution of cos θ = cos α is θ = 2nπ ± α, n ∈ Z.


If `sin^-1  4/5 + cos^-1  12/13` = sin–1α, then find the value of α.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×