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Delvig [45]
3 years ago
11

Prove the identity and include the rule

Mathematics
1 answer:
oksian1 [2.3K]3 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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Brrunno [24]
Okay so 0.4 is equal to 4/10 (hopefully you know that!) & anything over 1 is itself so i would but 64 over 1.

so now you hace 2 fractions & when dicing fractions you alwas flip the second fraction upside down & then just multiply across.

so if you have
64 4
---- / ----
1 10

you would switch the 2nd one so the 10 would be on top.

so that would give you 64*10 over 1*4

which equals 640/4

& when you simplify that you get 160

so that's your answer(:
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