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Trigonometry Test - 5

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Trigonometry Test - 5
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  • Question 1
    1 / -0

    The number of solutions of the equation 1 + sin x sin2 = 0 in is

  • Question 2
    1 / -0

    The area of a triangle is 80cm2 and its perimeter is 8 cm. The radius of its inscribed circle is

  • Question 3
    1 / -0

    tan x is periodic with period

  • Question 4
    1 / -0

    The magnitude of a radian is

  • Question 5
    1 / -0

    The value of x ∈ R, for which 2sin x + 2cos x  does not hold true, is

  • Question 6
    1 / -0

    If tan A = 1/2 and tan B = 1/3, then the value of sin (A + B) is

  • Question 7
    1 / -0

    The maximum value of 4 sin2 x + 3 cos2 x is:

  • Question 8
    1 / -0

    If for real values of x, cos  = x + 1/x, then 

  • Question 9
    1 / -0

    tansincos =

  • Question 10
    1 / -0

    The value of sin 20o sin 40o sin 60o sin 80o is

  • Question 11
    1 / -0

    The period of tan(x + 3x + 5x + 7x) is

  • Question 12
    1 / -0

    Which of the following expressions is rational?

  • Question 13
    1 / -0

    The greatest value of sin x × cos x is 

  • Question 14
    1 / -0

    If sin = cos , then  is equal to

  • Question 15
    1 / -0

    The maximum value of sin x is

  • Question 16
    1 / -0

    If tan + sec = ; 0 <  <, then  is equal to

  • Question 17
    1 / -0

    If a = 4, b = 3 and A =60∘, then c is a root of the equation

    Solution

    cosA=b2+c2−a2   /2bc

    ⇒cos60∘=1/2=9+c2−16/6c

    ⇒c2−7=3c

    ⇒c2−3c−7=0

     

    Hence c is the root of the equation x2−3x−7=0

     

  • Question 18
    1 / -0

    The value of sin (45o + ) – cos (45o –) is

  • Question 19
    1 / -0

    If A = cos2Ө + sin4 Ө, then for all values of Ө

  • Question 20
    1 / -0

    Which of the following is correct?

  • Question 21
    1 / -0

    Find the value of cos 30o . cos 60o . ------- cos 90o . cos 220o.

  • Question 22
    1 / -0

    If the period of the function
    f(x) = sin is 4π, then n is equal to 

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