MATH 1022 LSU EXAM 3 QUESTIONS WITH VERIFIED
ACCURATE ANSWERS
Which of the following is not a variation of a Pythagorean Identity?
a. 1-cos²θ=csc²θ
b. -cos²θ=sin²θ-1
c. tan²θ=sec²θ-1
d. sin²θ=1-cos²θ - Answers - a. 1-cos²θ=csc²θ
Which of the following is not a valid property of trigonometric functions?
a. sec (-θ)= sec θ
b. csc (-θ)= - csc θ
c. tan (-θ)= - tan θ
****d. cot (-θ)= cot θ**** - Answers - d. cot(-θ)=cotθ
Which of the following is true?
a. A trigonometric identity is valid for all values of the independent variable ***********for
which both sides********* of the identity are defined.
b. Verifying a trigonometric identity is the process of bringing all terms to one side and
solving for the variable
c. There is only one correct way to verify a trigonometric identity.
d. A trigonometric identity is valid for values of the independent variable that are angles
belonging to one of the four special families of angles. - Answers - a. A trigonometric
identity is valid for all values of the independent variable ****for which both sides of the
identity are defined.****
Using the technique of changing to sines and cosines to verify an identity, determine
which of the following is not an identity.
a. (secθ cscθ)/cotθ= sec²θ
b. cotθ sin²θ=sinθcosθ
********************************c. (sinθcscθ)/cos²θ=tan²θ
d. sin² t= tan t cot t - cos²t - Answers - c. (sinθcscθ)/cos²θ=tan²θ
Which of the following is not a process commonly used to verify an identity?
a. If a single term appears in the denominator of a quotient, try separating the quotient
into two or more quotients.
**************b. If more than one term appears in the denominator of an expression, try
using long division to simplify the expression.***********
c. Use a known identity to make a substitution.
d. If the denominator of a quotient contains an expression of the form A+B, try
multiplying the numerator and denominator by the conjugate A-B. - Answers - b. If more
than one term appears in the denominator of an expression, try using long division to
simplify the expression.
ACCURATE ANSWERS
Which of the following is not a variation of a Pythagorean Identity?
a. 1-cos²θ=csc²θ
b. -cos²θ=sin²θ-1
c. tan²θ=sec²θ-1
d. sin²θ=1-cos²θ - Answers - a. 1-cos²θ=csc²θ
Which of the following is not a valid property of trigonometric functions?
a. sec (-θ)= sec θ
b. csc (-θ)= - csc θ
c. tan (-θ)= - tan θ
****d. cot (-θ)= cot θ**** - Answers - d. cot(-θ)=cotθ
Which of the following is true?
a. A trigonometric identity is valid for all values of the independent variable ***********for
which both sides********* of the identity are defined.
b. Verifying a trigonometric identity is the process of bringing all terms to one side and
solving for the variable
c. There is only one correct way to verify a trigonometric identity.
d. A trigonometric identity is valid for values of the independent variable that are angles
belonging to one of the four special families of angles. - Answers - a. A trigonometric
identity is valid for all values of the independent variable ****for which both sides of the
identity are defined.****
Using the technique of changing to sines and cosines to verify an identity, determine
which of the following is not an identity.
a. (secθ cscθ)/cotθ= sec²θ
b. cotθ sin²θ=sinθcosθ
********************************c. (sinθcscθ)/cos²θ=tan²θ
d. sin² t= tan t cot t - cos²t - Answers - c. (sinθcscθ)/cos²θ=tan²θ
Which of the following is not a process commonly used to verify an identity?
a. If a single term appears in the denominator of a quotient, try separating the quotient
into two or more quotients.
**************b. If more than one term appears in the denominator of an expression, try
using long division to simplify the expression.***********
c. Use a known identity to make a substitution.
d. If the denominator of a quotient contains an expression of the form A+B, try
multiplying the numerator and denominator by the conjugate A-B. - Answers - b. If more
than one term appears in the denominator of an expression, try using long division to
simplify the expression.
