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  1. If cos 21° = x/y , then (cosec 21° – cos 69°) is equal to
    1. y√y² + x²
    2. x√y² - x²
    3. x√x² - y²
    4. y√x² - y²
Correct Option: A

cos 21° = x/y
∴ cos 69° = cos (90° – 21°)
= sin 21°

= √1 - cos² 21° = √1 -
=
y² - x²
y

∴ cosec 21° =
y
y² - x²

∴ cosec 21° – cos 69°
=
y
=
y² - x²
y² - x²y

=
y² - (y² - x²)
=
y√y² - x²y√y² - x²



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