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Mathematics 8 Online
snowflake0531:

number 7 @AZ

snowflake0531:

i got cosx-1/cosx but then what

darkknight:

can u post the ss again?

AZ:

remember the identity from the previous question? what does sec^2 (x) - 1 = ??

AZ:

1 attachment
AZ:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 i got cosx-1/cosx but then what \(\color{#0cbb34}{\text{End of Quote}}\) when you're telling us where you got to, it's kind of important to tell us what steps you took to get there otherwise I kind of have to guess how you got there

snowflake0531:

sec^2 x = 1/cosx 1/sec^2x -1 = cosx -1 so mutliplied together cosx-1/cosx

AZ:

uh no no no come on, snow you know the rules and that's cheating you can't do \(\dfrac{a}{b-c} \neq \dfrac{a}{b} - \dfrac{a}{c}\) also you have ^2 and you're losing them

snowflake0531:

oh, oops lol

AZ:

so just use the identity I told you about because it's the easiest way to go about it haha we know that \(\tan^2 (x) + 1 = \sec^2(x)\) so what is \( 1 - \sec^2(x) = ?\) and then we can replace it in the denominator and then simplify that fraction

snowflake0531:

-tan^2 x

AZ:

are you sure? just subtract 1 on both sides, what are you left with? :b

AZ:

OH my bad

snowflake0531:

LOL

AZ:

I meant to write, what is \(\sec^2(x) - 1\) because that's what is in your question

snowflake0531:

ohh tan^2 x

AZ:

there you go and now let's simplify \(\dfrac{\sec^2 (x)}{\tan^2(x)}\) change both into sin and cos and simplify

snowflake0531:

sec^2 x is 1/cos^2 x tan^2 x is sinx^2/cos^2 x sinx^2 /cos^4 x ????

snowflake0531:

how can i simplify

AZ:

snow snow flake flake snow flake snow flake snow flake flake snow flake flake snow snow what are you doing

snowflake0531:

????????????????

AZ:

\(\sf \dfrac{\dfrac{snow}{flake}}{\dfrac{snow}{flake}} = \dfrac{snow}{flake} \div \dfrac{snow}{flake}\) which is equal to \(\sf\dfrac{snow}{flake} \times \dfrac{flake}{snow}\)

AZ:

you can't forget how to divide fractions, snow

snowflake0531:

uh

snowflake0531:

OHHHHHHHHHH

snowflake0531:

oops lmaoooo

AZ:

\( \dfrac{\sec^2 (x)}{\tan^2(x)} = \dfrac{\dfrac{1}{\cos^2(x}}{\dfrac{\sin^2(x)}{\cos^2(x)}}\)

snowflake0531:

hehe, done now xdddddddddddddddd <3 thank youuuuuuuuuuuu

AZ:

you're welcome flakesnow!!!

snowflake0531:

higpnjpige lmaooo

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