मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Select the correct option from the given alternatives: The general solution of sec x = 2 is ______.

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प्रश्न

Select the correct option from the given alternatives:

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

पर्याय

  • `2npi +- pi/4, n∈Z`

  • `2npi +- pi/2, n∈Z`

  • `npi +- pi/2, n∈Z`

  • `2npi +- pi/3, n∈Z`

MCQ
रिकाम्या जागा भरा
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उत्तर

The general solution of sec x = `sqrt(2)` is `bb(underline(2"n"pi +- pi/4, n∈Z))`.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०६]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.03 | पृष्ठ १०६

संबंधित प्रश्‍न

Find the principal solution of the following equation: 

cosθ = `(1)/(2)`


Find the principal solution of the following equation: 

Sec θ = `(2)/sqrt(3)`


Find the principal solution of the following equation: 

tan θ = – 1


Find the general solution of the following equation:

sec θ = `sqrt(2)`.


Find the general solution of the following equation:

tan `(2θ)/(3) = sqrt3`


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:

If cos pθ = cos qθ, p ≠ q, then ______.


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:

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


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


Find the principal solutions of the following equation:

cot θ = 0


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


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


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`


Prove the following:

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


If `tan^-1 "x" + tan^-1 "y" + tan^-1 "z" = pi/2,` then show that xy + yz + zx = 1


Find the principal solutions of cosec x = 2


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


The number of solutions of cos 2θ = sin θ in (0, 2π) is ______


If function

f(x) = `x - |x|/x, x < 0`
      = `x + |x|/x, x > 0`
      = 1, x = 0, then


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


If sin θ + cos θ = 1, then the general value of θ is ______.


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


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


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 number of principal solutions of tan 2θ = 1 is ______.


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Find the general solution of sin θ + sin 3θ + sin 5θ = 0


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


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