Math 1022 Test 3
Which of the following is not a variation of a Pythagorean Identity?
1-cot^2(theta) = csc^2(theta)
Which of the following is true?
A trigonometric identity is valid for all values of the independent variable for which both sides of the identity are defined.
Which of the following is not a process commonly used to verify an identity?
If more than one term appears in the denominator of an expression, try using long division to simplify the expression.
If (alpha/2) is an angle with a terminal side lying in Quadrant IV, then which of the following expressions is not equivalent to tan(alpha/2)?
SQR 1-cos(alpha)/1+cos(alpha)
Which of the following is the correct sum formula for the cosine function?
cos(α+β)=cosαcosβ−sinαsinβ
Which of the following is not a valid double-angle formula for cosine?
cos2θ=2sin2θ−1
Which of the following is not a valid property of trigonometric functions?
cot(-theta) = cot(theta)
Which of the following can best be evaluated using the sum formula for the sine function?
sin(tan^-1 1+cos^-1 SQR(3)/2)
Which of the following is the correct difference formula for the sine function?
sin(α−β)=sinαcosβ−cosαsinβ
Which of the following is the correct sum formula for the tangent function?
tan(α+β)= (tanα+tanβ)/(1−tanαtanβ)
Which of the following is the correct difference formula for the tangent function?
tan(α−β)= (tanα−tanβ)/(1+tanαtanβ)
Using the technique of changing to sines and cosines to verify an identity, determine which of the following is not an identity.
(sin(theta)csc(theta))/cos^2(theta) = tan^2(theta)
If (a/2) is an angle with a terminal side lying in Quadrant III, then which of the following expressions is equivalent to sin(a/2)?
-SQR 1-cos(alpha)/2