Precalculus (Set-1-2-4) Trig Identities-MAKE-UP-TEST- 4/8/20

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft
• 65 ft
• 74 ft
• 87 ft

Tags

CCSS.HSG.SRT.C.8

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Set up an equation that could be used to solve for the variable.

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Tags

CCSS.HSG.SRT.C.6

At 10am on April 26th, a building 300 ft high cast a shadow 50 ft long. What is the angle of elevation of the sun?

• 58.2

• 67.7

• 70.8

• 80.5

Tags

CCSS.HSG.SRT.C.8

A straight trail leads from the Alpine Hotel, elevation 8000ft to a scenic overlook, elevation 11,000ft. The length of the trail is 14,100ft. What is the inclination of the trail?

• 10.6^o

• 11.8^o

• 12.7^o

• 15.5^o

Tags

CCSS.HSG.SRT.C.8

Choose all valid strategies for proving an identity

• Choose the most complicated looking side to work with

• Convert everything in terms of sine and cosine

• multiply everything by  $\pi$  

• Combine or Separate Fractions

• Multiplying by the Conjugate

Which of the following is NOT a Pythagorean identity?

• $\tan^2x+1=\sec^2x$

• $\cos2x\ =\ \cos^2x-\sin^2x$

• $\sin^2x\ +\ \cos^2x=1$

• $1+\cot^2x\ =\ \csc^2x$

Tags

CCSS.HSF.TF.C.8

Which expression is equivalent to the trigonometric expression  $\frac{\sin^2\left(\theta\right)+\cos^2\left(\theta\right)}{\sin\left(\theta\right)}$  ?

•  $\sec\left(\theta\right)$  

•  $1$  

•  $\csc\left(\theta\right)$  

•  $\csc^2\left(\theta\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Which expression is equivalent to the trigonometric expression  $\frac{1-\sin^2\left(\theta\right)}{\cos\left(\theta\right)}$  ?

•  $\sec\left(\theta\right)$  

•  $\sin\left(\theta\right)$  

•  $\cos\left(\theta\right)$  

•  $\csc\left(\theta\right)$  

Which expression is equivalent to the trigonometric expression  $\frac{\cos^2\left(\theta\right)-1}{\sin^2\left(\theta\right)-1}$  ?

•  $\cot^{2\ }\left(\theta\right)$  

•  $\tan^{2\ }\left(\theta\right)$  

•  $-\cot^{2\ }\left(\theta\right)$  

•  $-\tan^{2\ }\left(\theta\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3