Trigonometric Double Angle Identities - Quiz Quiz

Question 1

Which expression is equivalent to the fraction with numerator 1 and denominator 1 minus 2 sine squared x ?

Revolt · Accepted Answer

A: 1 over cosine of 2 x

Question 2

Suppose cosine of x is equal to negative 1 third , where pi over 2 is less than or equal to x comma x is less than or equal to pi What is the value of tangent of 2 x ?

Revolt · Accepted Answer

D: the fraction with numerator 2 square root of 8 and denominator 7

Question 3

Suppose sine of x is equal to 4 fifths and cosine of x is less than 0 What is the value of cosine of 2 x ?

Revolt · Accepted Answer

D: negative 7 over 25

Question 4

What is the value of 2 cosine squared open paren 75 degrees close paren minus 1 ?

Revolt · Accepted Answer

C: 1 half

Question 5

Suppose cosine of x is equal to negative 1 third , where pi over 2 is less than or equal to x comma x is less than or equal to pi What is the value of tangent of 2 x ?

Revolt · Accepted Answer

B: the fraction with numerator 2 square root of 8 and denominator 7

Question 6

Which derivation correctly uses the cosine sum identity to prove the cosine double angle identity?

Revolt · Accepted Answer

A: Table with 2 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Step' Row 2: Column 1, '1.'; Column 2, 'cosine of 2 x is equal to cosine of open paren x plus x close paren' Row 3: Column 1, '2.'; Column 2, 'is equal to cosine x minus sine x' Row 4: Column 1, '3.'; Column 2, 'is equal to cosine squared of x minus sine squared of x'

Question 7

Which expression is equivalent to cosine of 4 x ?

Revolt · Accepted Answer

D: 2 times open paren 2 cosine squared x minus 1 close paren squared minus 1

Question 8

Which expression is equivalent to the fraction with numerator 1 and denominator 1 minus 2 sine squared x ?

Revolt · Accepted Answer

A: 1 over cosine of 2 x

Question 9

What is the value of 2 cosine squared open paren 75 degrees close paren minus 1 ?

Revolt · Accepted Answer

D: negative the fraction with numerator square root of 3 and denominator 2

Question 10

Suppose sine of x is equal to 4 fifths and cosine of x is less than 0 What is the value of cosine of 2 x ?

Revolt · Accepted Answer

A: negative 7 over 25; C: negative 14 over 25

Trigonometric Double Angle Identities - Quiz Quiz Answers

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