1 answer:
Answer:
Step-by-step explanation:
is essentially
(you are squaring
, so multiplying it by itself), so to simplify, you would need to distribute.
A good way to go about this is using the F.O.I.L. method, multiplying the First numbers in the parentheses, then the Outers, then Inners, and finally, Lasts.
>>
>>
>>
()
After doing so, you would end up with , and after combining like terms,
.
To write the expression in standard form, though, just order the terms from highest to lowest power!
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Answer:
tan(θ) is undefined.
Step-by-step explanation:
Recall that tan(θ) = sin(θ) / cos(θ). We are given that sin(θ) = -1. Hence:
Since 1 / cos(θ) = sec(θ):
We can square both sides:
From the Pythagorean Identity:
Substitute:
So:
Since we acquire an untrue statement, no solutions exist.
If needed, refer to the unit circle. Recall that sin(θ) only equals -1 when θ = 3π/2 (on the interval [0, 2π)). At 3π/2, cos(θ) = 0. Since tan(θ) = sin(θ) / cos(θ), tan(θ) is undefined whenever sin(θ) = -1 (or 1).
Answer:
n = 18
Step-by-step explanation:
Cross multiply and simplify
Divide both sides of the equation by 5
Simplify : Cross cancel common factor: 5