Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
![\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%28sin%5E2%28a%29%2Bcos%5E2%28a%29-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can use trig identity
![\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%281-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
Answer:
x=2, y=1
x=-2, y = -1
Step-by-step explanation:
x - 2y = 0
x = 2y
x² - y² = 3
(2y)² - y² = 3
3y² = 3
y² = 1
y = 1 or y = - 1
x = 2 or x = -2
V=(7*6)/2 *8 the third option
you multiply the height with the base of the triangle and you get the area of the base of the prism so you multiply it with the height of the prism to get the volume
Since 5x is equal to y.we can write 5x instead of y in the equation.and then solve the equation
