Which of the following represent the distance formula? Select all that apply.
1 answer:
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Answer:
1 + cosa sina
Step-by-step explanation:
cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then
= ← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina
Answer:
9
Step-by-step explanation:
The first simplification we can make is to replace 6^0 with 1.
The first rules of exponents we can apply are ...
<em>(a·b)^c = a^c·b^c</em> . . . . . . similar to the distributive property
<em> (a^b)^c = a^(b·c)</em>
This reduces your expression to ...
Now we can apply another two rules of exponents:
<em> (a^b)(a^c) = a^(b+c)</em>
<em> 1/a^b = a^-b</em>
Using these, we have ...
The value of the expression is 9.