How do you simplify sin²x + tan²x + cos²x?

1 Answer
Jim G.
Jul 4, 2016

sec^2x

Explanation:

Using the following identities.

color(orange)"Reminders"

color(red)(|bar(ul(color(white)(a/a)color(black)(sin^2x+cos^2x=1)color(white)(a/a)|)))

color(red)(|bar(ul(color(white)(a/a)color(black)(1+tan^2x=sec^2x)color(white)(a/a)|)))

rArrsin^2x+cos^2x+tan^2x=1+tan^2x=sec^2x

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