Question

Trigonometric Functions
Solve the following equations for 0<=x<=360.
cos(70-x)=0.5
@ganeshie8

Answer 1

The first value is 10 but i'm not sure how to find the second value

Answer 2

for what angles the cosine function spits out 0.5 ?

Answer 3

60

Answer 4

and ?

Answer 5

is it 300?

Answer 6

Yep!

Answer 7

therefore 70-x can equal 60 or 300

Answer 8

70-x = 60

solving x gives you x = 10

Answer 9

70 - x = 300

solving x gives you -230

Answer 10

Recall that the period of cosine is 360, so adding 360 to the angle wont change the value of cosine

Answer 11

so add 360 to -230 to make it positive

Answer 12

-230 + 360 = ?

Answer 13

130

Answer 14

Thank you @ganeshie8 :)

Answer 15

yw