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 :)
the first one is the correct answer
Answer:
Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.
Step-by-step explanation:
17-(-15)=32
17-0=0
They are not equivalent so they are different.
Also for future reference when you have 2 minus signs they equal a addition sign.
Hope this helps :) GL
The rate of change of a line is regarded as the slope/ gradient (m) of the line
The slope/ gradient (m) of the line moving through points (x₁,y₁) and (x₂,y₂) is given as
On substituting the above values in the formula above we will have the slope to be
Therefore,
The rate of change of the line through (2,3) and (3,8) is 5
