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Question
sec A = 2 cos A is true for A = ______.
Options
0°
30°
45°
60°
MCQ
Fill in the Blanks
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Solution
sec A = 2 cos A is true for A = 45°.
Explanation:
sec A = 2 cos A
`1/(cos A)` = 2 cos A
⇒ 1 = 2 cos2A
⇒ `1/2` = cos2A
⇒ cos A = `1/sqrt2`
= cos 45
A = 45°
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