CCSS.Math.Content.HSF.TF.C.8

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• csc² x
• cot² x
• sin² x
• sec² x

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CCSS.Math.Content.HSF.TF.C.8

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• csc x
• sec x
• cot x
• tan x

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CCSS.Math.Content.HSF.TF.C.8

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

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CCSS.Math.Content.HSF.TF.C.8

cos(0)

• 1
• 0
• 1/2
• -1

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CCSS.Math.Content.HSF.TF.C.8

Organize this equation so it can be factored:

1−sin²x + sinx = 1

• move all to the right: 0 = sin²x − sinx

• cancel the ones and cancel a sinx

• replace sin²x with 1 − cos²x

• use this: 0 = sin²x − sinx + 2

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CCSS.Math.Content.HSF.TF.C.8

Is this one of the identities we can use to prove/simplify other identities?

tan²x + 1 = secx

• Yes

• No

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CCSS.Math.Content.HSF.TF.C.8

Determine the value of: cos(C)

• 7 / 25

• 24 / 25

• 25 / 7

• 24 / 7

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CCSS.Math.Content.HSF.TF.C.8

Sin²x = ...

• cosx - 1

• cos²x-1

• 1-cos²x

• 1 - cosx

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CCSS.Math.Content.HSF.TF.C.8

Given  $\sin x=\frac{3}{5}and\ \sin y=\frac{2}{3},$  where  $x\ and\ y$  are both in first quadrant.   $Evaluate\ \sin\left(x+y\right)$  

•  $\frac{3\sqrt{5}+8}{15}$  

•  $\frac{4\sqrt{5}+6}{15}$  

•  $\frac{2\sqrt{5}+12}{15}$  

•  $\frac{4\sqrt{5}+2}{5}$  

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CCSS.Math.Content.HSF.TF.C.8

 $\frac{\left(1-\cos^{2\ }x\right)}{\cos^{2\ }x}$  

•  $\cos^2\ x$  

•  $\cot^{2\ }x$  

• 1

•  $\tan^2\ x$  

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CCSS.Math.Content.HSF.TF.C.8