Question

(cos(x) - √(2)/2 ) (sec(x) -1) = 0

Part 1. Use the zero product property to set up and solve two equations involving cosine that will lead to solutions to the original equation.

(cos(x) - √(2)/2 )=0
(sec(x) -1)=0

Is this right?

Part 2. Use a reciprocal identity to express the equation involving secant in terms of sine, cosine, or tangent.

Part 3. Solve each of the two equations in Part 1 for x, giving all solutions to the equation.

Answer 1

yes that is right, which part do you need help with?

Answer 2

2

Answer 3

it just means to change secx

secx = 1/cosx

Answer 4

so just ((1/cosx)-1)=0?

Answer 5

is that correct?

Answer 6

yes but simplify it

Answer 7

1/cosx=1

Answer 8

Take the reciprocal, cosx = 1

Answer 9

cosx=\[\sqrt{2}/2\] and 1

Answer 10

yup now take the inverse of both sides
Therefore find x

Answer 11

\[x=\pm \pi/4 + 2n\pi \]

Answer 12

is that correct?

Answer 13

hmmm

Answer 14

2pi(n) ?

Answer 15

x = 2pi(n), 2pi(n) +- pi/4 n E Z

Answer 16

what is nEZ?

Answer 17

Dont ever forget the n E Z

Answer 18

It means where n is a member of the set Z (integers), meaning that n is an integer

Answer 19

ok, thanks so much