Csc a - sin a = cos a cot a
1/sin a - sin a = cos a (cos a / sin a)
(1 - sin^2 a)/sin a = cos^2 a/sin a
cos^2 a/sin a = cos^2 a/sin a
Therefore, the given equation is an identity.
Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
1/3 because only 1 and 2 is less than 3 out of the 6 numbers. 2/6 = 1/3.
Answer:
12 hours
Step-by-step explanation:
so what you do is take your $180 money amount and then divide it by your 15 or 12 dollar money amount and you should get your answer also your "answer" for the things you gave us is
15 x + 10 y = 180
The correct equation which represents the graph is y = log (2x) + 3. Then the correct option is B.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The equations are given below.
The graph of the function y = 2ˣ + 3 approaches zero when the value of x goes to negative infinity.
The graph of the function y = log (2x) + 3 approaches the negative infinity when the value of x approaches zero.
The graph of the function y = 2x² + 2 is parabolic in nature.
Then the correct equation which represents the graph is y = log (2x) + 3.
More about the function link is given below.
brainly.com/question/5245372
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