Question

3.7 = 3 + cos (thetha - 30 degrees)
find the value of thetha

Answer 1

use x for \(\theta\), it is easier to type
3+cos(x-30º)= 3.7
subtract 3 from both sides
3-3 + cos(x-30º)= 3.7-3
cos(x-30º)= 0.7

do you have a calculator to find the inverse cosine of 0.7?

Answer 2

yeah but what about the 30 degrees/?

Answer 3

say you had the problem
cos(y) = 0.7
what is y?

Answer 4

once you find y
we can say
x-30 = y
this means x= y+30

Answer 5

so would the answer be 45.57 degrees

Answer 6

acos(y)= 0.7
y= 45.57
(also y= 314.427..)

now you must find x
use x-30= y or x= 30+y

Answer 7

45.57+30 thanks