We have to simplify
sec(θ) sin(θ) cot(θ)
Now first of all let's simplify these separately , using reciprocal identities.
Sec(θ) = 1/cos(θ)
Sin(θ) is already simplified
Cot(θ)= cos(θ) / sin(θ) ,
Let's plug these values in the expression
sec(θ) sin(θ) cot(θ)
= ( 1/cos(θ) ) * ( sin(θ) ) * ( cos(θ) / sin(θ) )
= ( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
sin cancels out with sin and cos cancels out with cos
So , answer comes out to be
=( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )
= 1
Given:
x lies in the III quadrant.
To find:
The values of 
.
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
x lies in the III quadrant. So,
Now,
And,
We know that,
Therefore, the required values are 
.
Step-by-step explanation:
part A
y=nx
part B
y=48×x
y=48x
Answer:
10
Step-by-step explanation:
Since m||n the sum of given angles is equal to 180 (they are supplementary)
6x + 10 + 10x + 10 = 180 add like terms
16x + 20 = 180 subtract 20 from from both sides
16x = 160 divide both sides by 16
x = 10
Answer:
Mean = 70,000 dollars
SD = 800 dollars
For Khan Academy
Step-by-step explanation:
