4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Answer:
Option D
Step-by-step explanation:
From the spinner we see there are 5 colours in there.
These are;
Green, Yellow, Red, Purple, Blue.
This means that when it is spinned, there's possibility of getting only one colour per spin.
Since she tosses a coin as well for each spin, there's a possibility of getting either a tail or head per spin.
This means, all possible outcomes will be 5 × 2 = 10 outcomes.
With each colour possibly showing up with either tail or head.
Correct answer is Option D as it has 10 possible outcomes in the correct order.
Answer:
Step-by-step explanation:
The zeros of the polynomial function are given us as -5,-1,2
If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:
f(x) = (x - α)(x - β)(x - ω)
where α = -5, β = -1, and ω = 2
<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>
That could possibly be 6-7ft
