Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).
Then the hypotenuse length is √(1+4²) = √17.
The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so
Answer:
Step-by-step explanation:
100.50 (i hope i got it right)
the absolute value of a negative number is the number except positive
so absolute value of -1 is 1
Answer:
43
Step-by-step explanation:
18x+7
=18×2+7
=36×9
=45
Answer:
(- 9, - 9)
Step-by-step explanation:
Given the 2 equations
3x - 4y = 9 → (1)
- 3x + 2y = 9 → (2)
Adding (1) and (2) will eliminate the term in x
(1) + (2) term by term
(3x - 3x) + (- 4y + 2y) = (9 + 9)
0 - 2y = 18
- 2y = 18 ( divide both sides by - 2 )
y = - 9
Substitute y = - 9 into (1) or (2) and evaluate for x
(1) → 3x + 36 = 9 ( subtract 36 from both sides )
3x = - 27 ( divide both sides by 3 )
x = - 9
Solution is (- 9, - 9)
