हिंदी

Select the correct option from the given alternatives: If polar coordinates of a point are (2,π4), then its cartesian coordinates are - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Select the correct option from the given alternatives:

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

विकल्प

  • `(2, sqrt2)`

  • `(sqrt2, 2)`

  • (2, 2)

  • `(sqrt2, sqrt2)`

MCQ

उत्तर

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

shaalaa.com
Trigonometric Equations and Their Solutions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०६]

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 1.05 | पृष्ठ १०६

संबंधित प्रश्न

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:

tan θ = - 1


Find the general solution of the following equation:

cosθ + sinθ = 1.


State whether the following equation have solution or not?

cos 2θ = – 1


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


Select the correct option from the given alternatives:

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


The principal value of sin1 `(- sqrt3/2)` is ______.


Select the correct option from the given alternatives:

If tan-1(2x) + tan-1(3x) = `pi/4`, then x = _____


Select the correct option from the given alternatives:

The principal value branch of sec-1x is


Select the correct option from the given alternatives:

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


Find the general solutions of the following equation:

`tan theta = - sqrt3`


Find the general solutions of the following equation:

sin θ - cos θ = 1


In Δ ABC, prove that `cos(("A" - "B")/2) = (("a" + "b")/"c")sin  "C"/2` .


State whether the following equation has a solution or not?

3 sin θ = 5


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


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


`int 1/(sin x * cos x)` dx = ?


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


`int (sin (log x))^2/x` log x dx = ?


`[sin (tan^-1  3/4)]^2 + [sin(tan^-1  4/3)]^2 = ?`


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


If 2 cos2 θ + 3 cos θ = 2, then permissible value of cos θ is ________.


Which of the following equations has no solution?


The value of `tan^-1  1/3 + tan^-1  1/5 + tan^-1  1/7 + tan^-1  1/8` is ______.


The value of sin 18° is ______.


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


If `(tan 3 theta - 1)/(tan 3 theta + 1) = sqrt3`, then the general value of θ is ______.


Find the principal solutions of cot θ = 0


If 2 tan–1(cos x) = tan–1(2 cosec x). then find the value of x.


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 ______.


Principal solutions at the equation sin 2x + cos 2x = 0, where π < x < 2 π are ______.


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


If `2sin^-1  3/7` = cos–1β, then find the value of β.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×