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" sin " (150^(@) + x) + " sin " (150^...

`" sin " (150^(@) + x) + " sin " (150^(@) -x) " = cos x"`

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Find the value of : (i) sin 30^(@)+cos 60^(@) (ii) sin 0^(@)-cos 0^(@) (iii) tan 45^(@)- tan 37^(@) (iv) sin 390^(@) (v) cos 405^(@) (vi) tan 420^(@) (vii) sin 150^(@) (viii) cos 120^(@) (ix) tan 135^(@) (x) sin (330^(@)) (xi) cos 300^(@) (xii) sin (-30^(@)) (xiii) cos (-60^(@)) (xiv) tan (-45^(@)) (xv) sin (-150^(@))

Knowledge Check

  • The value of sin(-150^(@)) is :

    A
    `(sqrt(3))/(2)`
    B
    `(-sqrt(3))/(2)`
    C
    `(1)/(2)`
    D
    `-(1)/(2)`
  • What is the value of (sin^(3) x + cos^(3) x)/( sin x + cos x) + sin x cos x ?

    A
    0
    B
    sin x
    C
    cos x
    D
    1
  • The value of cos 480^(@) sin 150^(@) + sin 600^(@) cos 390^(@) is

    A
    0
    B
    1
    C
    `1/2`
    D
    `-1`
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