Answer:
The relation is:
cosec^2(a) - cot^2(a) = 1.
Where:
cosec(x) = 1/sin(x)
cot(x) = 1/tan(x) = cos(x)/sin(x)
Let's prove this.
Ok, we know by the Pythagorean theorem, that:
r^2 = x^2 + y^2
And we have the trigonometric relations, for an angle "a" measured from the x-axis
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
Where r is the hypotenuse, x and y are the catheti.
Now, let's divide the Pythagorean theorem by y^2 in both sides to get:
(r^2/y^2) = (x^2 + y^2)/y^2
r^2/x^2 = x^2/y^2 + y^2/y^2
r^2/y^2 = 1 + x^2/y^2
(r/y)^2 = 1 + (x/y)^2
and remember that:
y/r = sin(a)
then:
r/y = 1/sin(a) = cosec(a)
(r/y)^2 = cosec^2(a)
and:
y/x = tan(a)
then:
x/y = 1/tan(a) = cot(a)
and:
(x/y)^2 = cot^2(a)
replacing these in the equation (r/y)^2 = 1 + (x/y)^2 we get:
cosec^2(a) = 1 + cot^2(a)
cosec^2(a) - cot^2(a) = 1
All you have to do is divide the left side of the ratio by 5 and the right side of the ratio by 7. The one that comes out even on both sides is the correct one.
Answer:
I think it’s C
Step-by-step explanation:
Answer:
Multiply 500 by 0.30
Step-by-step explanation:
30% = 0.30 In Decimal Form
Multiply
500x0.30=150
150 Is 30% Of 500
Answer:
a. t = I/<u>Pr</u>
b. The value of t in the table is <u>3</u> years
Step-by-step explanation:
Solve for t in the formula.
I = Pr
~Divide pr to both sides
I/Pr = t
Using the formula above, we can solve for t.
75/(500)(0.05) = t
75/25 = t
3 = t
Best of Luck!