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Trigonometry Test 2
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Trigonometry Test 2
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  • Question 1/7
    1 / -0

    Find the angle between minute hand of a clock and hour hand when time is 7 : 20 AM?

    Solutions

    7 hours 20 minutes = 

    In , hour hand will cover 

    In 20 minutes, minute hand will cover = 20 × 6 = 120°

    angle difference = (220 – 120) = 100°

  • Question 2/7
    1 / -0

    Sec (180 + θ) = ?

    Solutions

    Sec (180 + θ) = – Sec θ

    Since "180 + θ" Falls in 3rd quadrant.

  • Question 3/7
    1 / -0

    The value of 1° in radian is? [up to 6 digit of decimal]

    Solutions

    1° = 

    = 0.017453

  • Question 4/7
    1 / -0

     

    If A, B, C are interior angles of triangle ABC, then tan open parentheses fraction numerator straight B space plus space straight C over denominator 2 end fraction close parentheses space equals space ?

    Solutions

    (A + B + C) = 180°

    B +C = 180 – A

    So 

  • Question 5/7
    1 / -0

     

    Cot 12° Cot 38° Cot 52° Cot 60° Cot 78° = ?

    Solutions

    Cot 12° Cot 38° Cot 52° Cot 60° Cot 78°

    ⇒ (Cot 12° tan 12°) (Cot 38° tan 38°) Cot 60°

  • Question 6/7
    1 / -0

    (Sin θ + Cosec θ)2 + (Cos θ + Sec θ)2 = ?

    Solutions

    (Sin θ + Cosec θ)2 + (Cos θ + Sec θ)2

    ⇒ (Sin2θ + Cosec2θ + 2) + (Cos2θ + Sec2θ + 2)

    ⇒ (Sin2θ + Cos2θ) + (Cosec2θ + Sec2θ + 4)

    = 1 + 4 + (1 + tan2θ) + (1 + cot2θ)

    = 7 + tan2θ + cot2θ

  • Question 7/7
    1 / -0

    If a cos θ + b sin θ = m and a sin θ – b cos θ = n then m^2 + n^2 = ?

    Solutions

    a cos θ + b sin θ = m

    a sin θ – b cos θ = n

    Squaring and adding a^2 + b^2 = m^2 + n^2

     

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