Simplify cos2 x sec2x sec2 x tan2x - JAMB Mathematics 1991 Question
Simplify cos2 x (sec2x + sec2 x tan2x)
A
tan x
B
tanx secx
C
\(\frac{1 + tan^2x}{sec^2x}\)
D
cosec2x
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Correct Option: C
cos2 x (sec2x + sec2 x tan2x)
= (\frac{cos^2x}{cos^2x}) x (\frac{cos^2x sin^2x}{cos^2x cos^2x})
= (\frac{1 + sin^2x}{cos^2x})
= (\frac{1 + tan^2x}{sec^2x})
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