math 1022 test 3

which of the following is not a valid double angle formula for cosine?

cos20=2 sin^20 - 1

which of the following statements is true?

it is possible for a trig equation to have general solutions but not have a solution on the interval [0,2pi)

which of the following can best be evaluated using half angle formula for the sine function

sin (1/2 cos^-1(-2/3))

which of the following is correct difference formula for the sine function?

sin (a-B)= sinacosB +cosasinB

which of the following is not a trig equation that is linear in form?

sin0cos0=-1/2

if q/2 is an angle with a terminal side lying in quadrant 4, then which of the following expressions is not equivalent to tan (a/2)?

square root(1-cos a/1+ cos a)

which of the following is not a valid strategy for solving the given equation?

to solve the equation cos^2=sin0cos0, first divide both sides by cos 0

if a/2 is an angle with a terminal ice lying in quadrant 3, then which of the following expressions is equivalent to sin (a/2)?

- square root(1-cos a/2)

which of the following can best be evaluated using the sum formula for the sine function?

sin(tan^-1+ cos^-1 square root (3)/2

which of the following is the correct sum formula for the tangent function

tan (a+B)= tan a+tan B/ 1-tanatanB

which of the following is the correct difference formula for the tangent function

tan (a-B)= tan a- tan B/1+ tanatanB

if -1<b<0, then which of the following statements best describe the solution to the equation cos0=b on the interval [0,2pi)?

there are exactly 2 solutions to the equation cos0=b on the interval [0,2pi). one solution is 0=pi-cos^-1(-b), the other solution is 0=pi+cos^-1(-b)