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Delvig [45]
2 years ago
11

Prove the identity and include the rule

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
6 0

Hi there!

To begin, we can distribute sec²x with (1 - sin²x):

= sec²x - sec²xsin²x

Which simplifies to:

= sec²x - tan²x

Recall the Pythagorean identity:

1 + tan²x = sec²x

Rearrange alike to the solved for expression above:

<u>1 = sec²x  - tan²x</u>

<u>Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.</u>

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