The first thing to do would be to simplify the equation first. Let's apply the trigonometric functions properties where 1 + tan²x = sec² x. So, we can substitute this to the equation so that it would purely be a function of tangents.
<span>2sec</span>²<span>x-tan</span>⁴<span>x=-1
2(1+tan</span>²x) - tan⁴x = 1
2 + 2 tan²x - tan⁴x + 1 = 0
tan⁴x - 2tan²x + 1 = 0
(tanx -1)² = 0
tanx - 1 = 0
tanx = 1
x = tan⁻¹ 1
x = 45°
So, the solution for the given trigonometric equation is 45° or π/4 radians.
Answer:
a. 0.25
b. 0.50
c. 0.75
Step-by-step explanation:
P(E1) = 0.25
P(E2) = 0.25
P(Es) = 0.25
P(E) = 0.25
a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:
b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring
c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring
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➷ cos41 = x/55
x = cos41 x 55
x = 41.50902
The correct option would be 41.51
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Answer:
24 for 2.99
Step-by-step explanation:
2.99/24 = $0.1245 per ounce
4.99/36 = $0.1386 per ounce
So the 36 cost more per ounce.
