Answer:
Multiplication
Step-by-step explanation:
Multiplication
Answer:
4/9 or 0.4
Step-by-step explanation:
Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
The intersection is 
.
The Problem:
What is the intersection point of 
and 
?
Step-by-step explanation:
To find the intersection of and , we will need to find when they have a common point; when their 
and 
are the same.
Let's start with setting the 's equal to find those 's for which the 's are the same.
By power rule:
Since 
implies 
:
Squaring both sides to get rid of the fraction exponent:
This is a quadratic equation.
Subtract 
on both sides:
Comparing this to 
we see the following:
Let's plug them into the quadratic formula:
So we have the solutions to the quadratic equation are:
or 
.
The second solution definitely gives at least one of the logarithm equation problems.
Example: 
has problems when 
and so the second solution is a problem.
So the where the equations intersect is at .
Let's find the -coordinate.
You may use either equation.
I choose .
The intersection is .
