Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:
Split the fraction:
First fraction reduces to 1:
Simpify each with common arguments:
Values of x and g(x) are given in the table below. x 3.1 3.6 4.1 4.6 5.1 5.6 6.1 6.6 g(x) 3.8 4.8 5.4 5.8 6.4 7.8 9.4 11.4 for w
1 answer:
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Answer:
Step 3 is not correct (should be , not
Step-by-step explanation:
The expression that we have to simplify is:
We proceed step-by-step, in order to find the mistake did by Cedric:
1) First, we factorize the 5 outside:
--> this step is correct
2) We add +16 and -16 inside the brackets:
--> this step is correct
3) We rewrite the term as the square of a bynomial, which is
, so the expression becomes
--> we notice that this step is wrong: in fact, Cedric wrote
, which is not correct.
4) Now we continue: we rewrite -16+3 as -13,
5) Finally, we multiply the 5 by the terms in the bracket: