Step-by-step explanation:
Since we can get some information from this. First of all is defined as . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive
Pythagorean Theorem:
So now we can calculate .
Now to calculate the exact value of csc you simply take the inverse. This gives you . Multiplying both sides by sqrt(7) to rational the denominator gives you .
Now to calculate cot(theta) you find the inverse of tan. Tan is defined as . So all you do is take the inverse which is .
Plug values in
Keep, change, flip
Multiply:
Multiply both sides by sqrt(7)
This is the value of cot(theta)
Answer:
where's the question?
Step-by-step explanation:
Answer:ΔSRT and ΔTRP
Step-by-step explanation:
We are given that R is a point on hypotenuse SP such that the segment RT is perpendicular to PS, therefore, PR=RS as the perpendicular bisector divides the line segment in two equal halves.
Now,
In ΔSRT and ΔTRP,
PR=SR( Since RT is perpendicular bisector, it divides PS in two equal halves)
∠PRT=∠SRT=90° (RT is perpendicular bisector of PS)
RT=RT(Common)
Therefore, by SAS rule of congruency,
ΔSRT ≅ΔTRP
Hence, Option D is correct.
The pants are $38.06 and the television is $1,147.50.
The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06
The total cost is $35 + 3.06 = $38.06.
The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price
The sales tax is calculated by multiplying $1,062.50 x .08 = $85
The total price is $85 + $1,062.50 = $1,147.50
Answer:
7300
Step-by-step explanation: