Answer:
If P = (x,y) then formulas for each trigonometric functions are:
sin x = y/r
cos x = x/r
tan x = y/x
cot x = x/y
sec x = r/x
cosec x = r/y
where r = √(x²+y²).
First find r:
r = √(13²+84²)=√(169+7056)=√7225=85.
Then just substitute:
sin x = 84/85
cos x = 13/85
tan x = 84/13
cot x = 13/84
sec x = 85/13
cosec x = 85/84
Answer:
1938
Step-by-step explanation:
The number in the blank box should be 44 because it said that "3 times x and 4 times y is 44".
You need to multiply the first equation by 3:
3x + 3y = 39.
Then, subtract the first equation from the second equation:
3x - 3x = 0
4y - 3y = y
44 - 39 = 5
Your new equation should look like this: y = 5
Now, substitute y = 5 into the first original equation:
x + 5 = 13
x = 8
Ans. (x, y) = (8, 5)