3x-4 +15-x+3x+6 =32
Does that help?
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression 
is equivalent to the <em>trigonometric</em> expression 
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression is equal to the <em>trigonometric</em> expression . Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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Answer:
Step-by-step explanation:
In an arithmetic sequence, we keep adding/subtracting to get the next term in the sequence.
Therefore, we can make an equation that looks like this:
5k-(2k+1) = 7k+2-5k
We can subtract 2k+1 from 5k, and 5k from 7k+2, because from subtracting the difference would be the same. (common difference of sequence is what we would find)
Now, we just need to simplify.
5k-2k-1 = 2k+2
3k-1=2k+2
Now let's combine like terms, and we get:
k=3
Hope this helped!
Use the Pythagorean theorem /look at the picture/
? = x
