The equation 3sinx + cosx = 4 has from Mathe

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 Multiple Choice QuestionsMultiple Choice Questions

81.

The value of cos45°cos712°sin712° is 

  • 12

  • 18

  • 14

  • 116


82.

General solution of sinx + cosx = minaR1, a2 - 4a + 6 is

  • 2 + - 1nπ4

  • 2 + - 1nπ4

  •  + - 1n +1π4

  •  + - 1nπ4 - π4


83.

If a= 22, b = 6, A= 45°, then

  • no triangle is possible

  • one triangle is possible

  • two triangles are possible

  • either no triangle or two triangles are possible


84.

In a triangle ABC, if sinA sinB = abc2, then the triangle is

  • equilateral

  • isosceles

  • right angled

  • obtuse angled


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85.

The value of 1 + cosπ61 + cosπ31 + cos2π31 + cos7π6 is

  • 316

  • 38

  • 34

  • 12


86.

If P = 12sin2θ + 13cos2θ then

  • 13  P  12

  • P  12

  • 2  P  3

  • - 136  P  136


87.

A positive acute angle is divided into two parts whose tangents are 12 and 13. Then, the angle is

  • π4

  • π5

  • π3

  • π6


88.

The smallest value of 5cosθ + 12 is

  • 5

  • 12

  • 7

  • 17


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 Multiple Choice QuestionsShort Answer Type

89.

Show that

sinθcos3θ + sin3θcos9θ + sin9θcos27θ = 12tan27θ - tanθ


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90.

The equation 3sinx + cosx = 4 has

  • infinitely many solutions

  • no solution

  • two solutions

  • only one solution


B.

no solution

We know that,

 - a2 + b2  acosθ + bsinθ  a2 + b2 - 3 + 1  3sinx + cosx  3 + 1            - 2  3sinx + cosx  2But,                   3sinx + cosx = 4

Thus, The given equation has no solution.


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