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Trigonometry Test 1
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Trigonometry Test 1
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  • Question 1/10
    1 / -0

    tan 5° tan 25° tan 30° tan 65° tan 85° = ?

    Solutions

    tan 5° tan 25° tan 30° tan 65° tan 85°

    ⇒ (tan 5° cot 5°) (tan 25° cot 25°) tan 30°

  • Question 2/10
    1 / -0

    fraction numerator COS space 80 degree over denominator SIN space 10 degree end fraction space plus space COS space 59 degree space Cosec space 31 degree space equals ?

    Solutions

    ⇒ 1 + 1 = 2

  • Question 3/10
    1 / -0

    fraction numerator SIN space 36 degree over denominator CAS space 54 degree end fraction space – space fraction numerator SIN space 54 degree over denominator COS space 36 degree end fraction space equals space ?

    Solutions

    ⇒ 1 – 1 = 0

  • Question 4/10
    1 / -0

    fraction numerator COS space 37 degree over denominator SIN space 53 degree end fraction space equals space ?

    Solutions

  • Question 5/10
    1 / -0

     

    Find the angle between minute hand and hour hand of a clock at half past three?

    Solutions

    Angled covered by hour hand in  hours

    = 

    Angle covered by minute hand in 30 minutes = (30 × 6)° = 180°

    Required angle = 180 – 105 = 75°

  • Question 6/10
    1 / -0

    If area of some length in two circles subtend angle of 60° and 75° at their centres ratio of their radii is?

    Solutions

    60° = 

    and 75° = 

    angle = 

    So,  and 

    So, S =  and 

    So, r1 : r2 = 

  • Question 7/10
    1 / -0

    Find the radian measure corresponding to 5° 37' 30''?

    Solutions

    30'' = 

    So 37' 30'' = 

    So 5° 37' 30'' = 

    In radian ⇒

  • Question 8/10
    1 / -0

    Find length of an arc of a circle of radius 5 cm subtending a central angle measuring 15°?


       
    Solutions

    Length of arc = 

    = 

    = 

  • Question 9/10
    1 / -0

    Find the radian measure corresponding to 340°?

    Solutions

    Angle = 340°

    in radian ⇒ 

  • Question 10/10
    1 / -0

    Find the degree measuring corresponding to open parentheses fraction numerator 2 straight pi over denominator 15 end fraction close parentheses to the power of straight C ?

    Solutions

    x = 

    Substituting π = 180°

    x = 

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