Evaluating the Six Trigonometric Functions

Question 1

If , which expression is equivalent to ?

Revolt · Accepted Answer

StartFraction 1 Over negative three-eighths EndFraction

Question 2

Given that , what is the value of , for ?

Revolt · Accepted Answer

StartRoot 2 EndRoot

Question 3

Given that , what is the value of , for ?

Revolt · Accepted Answer

Negative StartFraction 12 Over 35 EndFraction

Question 4

Which Pythagorean identity is correct?

Revolt · Accepted Answer

tangent squared (theta) + 1 = secant squared (theta)

Question 5

If , which of the following represents an approximate value of , for ?

Revolt · Accepted Answer

1.1916

Question 6

Fatima wants to find the value of , given . Which identity would be best for Fatima to use?

Revolt · Accepted Answer

1 + cotangent squared theta = cosecant squared theta

Question 7

Based on Pythagorean identities, which equation is true?

Revolt · Accepted Answer

cotangent squared theta minus cosecant squared theta = negative 1

Question 8

Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.Step 1Step 2 Step 3Which of the following explains whether all of Francesca’s work is correct?

Revolt · Accepted Answer

She made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also results in incorrect cosecant, secant, and tangent functions.

Evaluating the Six Trigonometric Functions Answers

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