10_mathematics_introduction_to_trigonometry_03.pdf

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  • CLASS 10 Mathematics (Introduction to Trigonometry )

    1. If ( )tan 2 cot 6 = + the value of is(a) 28 (b) 29 (c) 27 (d) 30

    [1]

    2. The value of sin60 . Cos30 + sin30 . Cos60

    (a) 1 (b) 2 (c) 4 (d) 3

    [1]

    3. If tan A=

    4,

    3than Sin A is equal to

    (a) 43

    (b) 45

    (c) 54

    (d) 14

    [1]

    4. The value of tan 48 . tan 23 . tan 42 . Tan67 is

    (a) 1 (b) 2 (c) 3 (d) 4

    [1]

    5. Evaluate

    2 22sin 47 cos 43 4cos 45

    cos 43 sin 47

    +

    [2]

    6. Prove ( )( )( )21 tan 1 sin 1 sin 1 + + = [2] 7. Prove 4 2 4 2sec tan tanSec A A A A = + [2]

    8. Prove ( ) ( )2 2 2 2cos cos sec 7 tan cotSinA ecA A A A A+ + + = + + [2]

    9. Evaluate

    cos 70 cos55 .cos 35sin 20 tan 5 . tan 25 .tan 45 .tan 65 .tan85

    ec +

    [3]

    10. If

    cos cos

    cos sinm and n = = show that ( )2 2 2 2cosm n n+ =

    [3]