3 years ago

WILL MARK BRAINLIEST DUE TOMORROW 9/28/18

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

well tomorrow pasted should i still answer

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Alisiya [41]

Answer:

a. csc²θ

Step-by-step explanation:

You can use the identities ...

1 +tan² = sec²

cot = cos/sin

sec = 1/cos

csc = 1/sin

___

Then the expression becomes ...

$\cot^2{\theta}(1+\tan^2{\theta})=\cot^2{\theta}\sec^2{\theta}=\dfrac{\cos^2{\theta}}{\sin^2{\theta}\cos^2{\theta}}=\dfrac{1}{\sin^2{\theta}}\\\\=\boxed{\csc^2{\theta}}$

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