Answer:
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by 
.
Answer:
523 -61= 462
456-187=269
Step-by-step explanation:
subtract the last numbers first 3-1 which is 2 then 2-6 which is impossible so you borrow from 5 and add 10 to 2 which become 12-6 which is 6 the the first number has only 4 left because you borrowed from it which is 4 so 523-61= 462.
subtract the last number 6-7 it not possible because 6 is less than 7 so borrow from 5 then add 10 to 6 which become 16-7=9 then the second number you have 4-8 since you borrowed from 5, 4-8 is also not possible so borrow from 4 which become 14-8 which is 6 and the first number which is now 3- 1 which is 2 so all the result become 269
Answer:
29° ; 61°
Step-by-step explanation:
Let one angle = x°
Other angle = (x + 32)°
x + x + 32 = 90 {given they are complementary}
2x + 32 = 90
2x = 90 -32
2x = 58
x = 58/2
x = 29
One angle = 29°
Other angle = 29 + 32 = 61°
Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37
