asked 211k views
4 votes
Simplify
sin^2x+tan^2x+cos^2x

2 Answers

5 votes

Answer:

Explanation:

SIN^2x + tan^2 x + cos^2x

= x( sin^2 + tan^2+cos^2)

=x(1+tan^2) since sin^2+cos^2 =1

=xsec^2 ( since sec^2 = 1+tan^2)

=sec^2x

hope it helps

answered
User Graham King
by
8.3k points
4 votes

Answer:

sec²x

Explanation:

sin²x + tan²x + cos²x

sin²x + cos²x + tan²x

1 + tan²x ( sin²x + cos²x = 1 )

sec²x ( 1 + tan²x = sec²x )

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