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  1. If sin 21° =
    x
    , then sec 21° – sin 69° is equal to
    y
    1. y√y² - x²

    2. x√y² - x²
    3. y√x² - y²
    4. x√x² - y²
Correct Option: A

sin 21° =
x
y

cos 21° = √1 - sin² 21°

∴ sec 21° =
y
y² - x²

∴ sec 21° – sin 69°
= sec 21° – sin (90° – 21°)
= sec 21° – cos 21°
=
y
-
y² - x²
y² - x²y

=
y² - (y² - x²)
-
y√y² - x²y√y² - x²



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