Trigonometric Sum Identities - Quiz Quiz

Question 1

What is the exact value of sine of open paren v plus w close paren , given sine v is equal to negative 3 fifths , cosine w is equal to 10 over 11 , v is an angle in Quadrant III, and w is an angle is Quadrant IV?

Revolt · Accepted Answer

B: the fraction with numerator negative 30 plus 4 square root of 21 and denominator 55

Question 2

What is the exact value of cosine of open paren 195 degrees close paren ?

Revolt · Accepted Answer

D: the fraction with numerator negative square root of 6 minus square root of 2 and denominator 4

Question 3

What is the exact value of sine of open paren 345 degrees close paren ?

Revolt · Accepted Answer

C: the fraction with numerator negative square root of 6 plus square root of 2 and denominator 4

Question 4

If tangent m is equal to 1 half and tangent n is equal to negative 6 , what is the exact value of tangent of open paren m plus n close paren ?

Revolt · Accepted Answer

C: negative 11 eighths

Question 5

If tangent m is equal to 1 half and tangent n is equal to negative 6 , what is the exact value of tangent of open paren m plus n close paren ?

Revolt · Accepted Answer

D: negative 11 eighths

Question 6

What is the exact value of cosine open paren 11 pi over 21 close paren minus sine open paren 11 pi over 21 close paren ?

Revolt · Accepted Answer

D: negative 1 half

Question 7

Which set of steps can be used to prove the sine sum identity, sine of open paren x plus y close paren is equal to sine x plus cosine x ?

Revolt · Accepted Answer

A: Use the supplementary relationship between sine and cosine to rewrite  sine of open paren x plus y close paren  as  cosine of open paren pi over 2 minus open paren x plus y close paren close paren . Apply the cosine sum identity. Then simplify using  sine of negative y is equal to negative sine times y  and  cosine of negative y is equal to cosine of y .

Question 8

What is the exact value of sine of open paren v plus w close paren , given sine v is equal to negative 3 fifths , cosine w is equal to 10 over 11 , v is an angle in Quadrant III, and w is an angle is Quadrant IV?

Revolt · Accepted Answer

C: the fraction with numerator negative 30 minus 4 square root of 21 and denominator 55

Question 9

Which steps can be used to verify that tangent of open paren w plus pi close paren is equal to tangent of w ?

Revolt · Accepted Answer

D: Rewrite  tangent of open paren w plus pi close paren  using the tangent sum identity. Then simplify the resulting expression using  tangent of pi is equal to 0 .

Question 10

Which steps can be used to verify that tangent of open paren w plus pi close paren is equal to tangent of w ?

Revolt · Accepted Answer

A: Rewrite  tangent of open paren w plus pi close paren  using the tangent sum identity. Then simplify the resulting expression using  tangent of pi is equal to 0 .

Trigonometric Sum Identities - Quiz Quiz Answers

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