Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2
1 answer:
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We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
Y intercept will be -4.
Step-by-step explanation:
Here we are given our function as
We are asked to determine the y intercept.
The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.
Please note that the point at which graph cuts the y axis have x=0
Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :
Putting x =0
subtracting both sides by 8
dividing both sides by 2
=-4
Question:
The recursive function ,
represents the nth term of a sequence. Determine the explicit function
Answer:
Step-by-step explanation:
Given
Required
Write an explicit formula
Let n = 1
Let n = 2
Let n =3
Let n = 4
So, we have:
Following the above pattern:
Open bracket