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  1. If cos 27° = x, the value of tan63° is
    1. x
      √1 - x²
    2. x
      √1 + x²
    3. √1 - x²
      x
    4. √1 + x²
      x
Correct Option: A

cos 27° = x
⇒ cos (90° – 63°) = x
⇒ sin 63° = x
∴ cos 63° = √1 - sin² 63° = √1 - x²

∴ tan 63 =
sin 63°
=
x
cos 63° √1 - x²


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