Answer:
, hence the identity is verified.
Step-by-step explanation:
Working on right hand side.
Substituting ![[cot(x)=\frac{cos(x)}{sin(x)}]](https://tex.z-dn.net/?f=%5Bcot%28x%29%3D%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%5D)
and ![[cot(y)=\frac{cos(y)}{sin(y)}]](https://tex.z-dn.net/?f=%5Bcot%28y%29%3D%5Cfrac%7Bcos%28y%29%7D%7Bsin%28y%29%7D%5D)
Taking LCD and adding fractions.
Cancelling out the common denominators.
Applying sum and difference formulas ![[cos(x-y)=cos(x)cos(y)-sin(x)sin(y)][sin(x+y)=sin(x)cos(y)+sin(y)cos(x)]](https://tex.z-dn.net/?f=%5Bcos%28x-y%29%3Dcos%28x%29cos%28y%29-sin%28x%29sin%28y%29%5D%5Bsin%28x%2By%29%3Dsin%28x%29cos%28y%29%2Bsin%28y%29cos%28x%29%5D)
Left side
∵ , hence the identity is verified.
The simplification of the expression (81^ 1/4)^ 4 is 81.
<u>Step-by-step explanation</u>:
(a^m)^n = a^(m
n) -----------(1)
From the expression (81^ 1/4)^ 4,
a = 81
m = 1/4
n = 4
Substitute the above values in (1),
(81^ 1/4)^ 4 = 81^(1/4 4)
(81^ 1/4)^ 4 = 81^(1)
The simplification of the expression is 81.
If you want it in that format and simplified, this is it. y=-x+3
If you dont need it simplified then the answer is 2y=-2x+6
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
it is a fourth degree trinomial
1) find two number whose sum is -10 and whose product is 9
the two numbers are -1 and -9
2) write the trinomial as a multiplication in this way
(x^2-1)(x^2-9)
3) the two factors are both a difference of tho squares.
so we can rewrite it as
(x+1)(x-1)(x+3)(x-3)
Because a rational number is basically a fraction or decimal form
