Maths 3u trig

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If sinA = 1/3 and cosA<0
find the exact value of tan2A

  • Maths 3u trig -

    sinA = 1/3 and cosA<0
    find the exact value of tan2A
    What quadrant is A? Sin is +, cos is - so quadrant 2, so 2 A is quadrant 3 or 4
    cos^2A = 1 - sin^2A = 1-1/9 = 8/9
    cos A = -(2/3)sqrt 2
    tanA = (1/3)/[-(2/3)sqrt2)] = -1/(2 sqrt 2)
    tan 2A = 2 [-1/(2 sqrt 2)]/[1- 1/8]

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