root over 1-sin²140°. Sec 140°=?
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Step-by-step explanation:
sin²A + co-secant²A = 1 (Just an identity bro memorize it!)
∴ a = 140°
∴ √(1 - sin²140°) = √cos²140° (As sin²A + cos²A = 1 which is 1 - sin²A = cos²A)
= cos140°
Co-secant(180-A) = -co-secantA (Again a simple identity)
∵ cosA = cos140°
it is same as co-secant(180 - 40) which is nothing but -cos40°.
Co-secantA° = secant(90 - A) (Complementric ratios)
Since A = 40°
SecantA = Secant(90 - A) = Secant50°
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