Let csc(x) = 14/10 where 0 < x < pi/2. Which ratio has a value of square root96/14? A. cos(x)
B. sin(x)
C. sec(x)
D. cot(x)

cot (x) ; D

Step-by-step explanation:

Mathematically;

cosec is 1/sin

So if cosec is 14/10 , then sin is 10/14

Sine refers to opposite/hypotenuse

So to get the adjacent, we use the pythagoras theorem.

According to this, the square of the hypotenuse equals the sum of the squares of the opposite and adjacent

Hence to get the value of the adjacent, we have;

14^2 - 10^2 = O^2

O^2 = 196-100

O^2 = 96

O = square root of 96

Now, mathematically, we know that Tan is opposite/ adjacent

So in this case tan = 10/√96

But cot is 1/tan

Thus cot = √96/10

So cot is our answer

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.