Answer:
option b)
tan²θ + 1 = sec²θ
Step-by-step explanation:
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.
hypotenuse² = height² + base²
Given in the questions are some pythagorus identities which except of b) are all incorrect as explained below.
<h3>1)</h3>
sin²θ + 1 = cos²θ incorrect
<h3>sin²θ + cos²θ = 1 correct</h3><h3 /><h3>2)</h3>
by dividing first identity by cos²θ
sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ
<h3>tan²θ + 1 = sec²θ correct</h3><h3 /><h3>3)</h3>
1 - cot²θ = cosec²θ incorrect
by dividing first identity by sin²θ
sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ
<h3>1 + cot²θ = cosec²θ correct</h3><h3 /><h3>4)</h3>
1 - cos²θ = tan²θ
not such pythagorus identity exists
Answer: 5 minutes
Step-by-step explanation:
We know that 1760 yards are in a mile. We can convert the given info into a proportion. 440/75 = 1760/x, where x is the number of seconds it takes to run a mile. Cross-multiply to get 440x = 75*1760. Divide both sides by 440 to get x = 75*4 = 300 seconds. The problem asks for how many minutes so you have to convert 300 seconds to minutes. To do this, we have to divide 300 by 60 to get 5 minutes.
Givens
Work week = 40 hours
Paid 7.50 an hour.
Sells 6300 worth of goods.
Equation
Take home pay = Sales * 5% + 7.50 * number of hours.
Sub and Solve
Take home pay = 6300 * 5% + 7.50 * 40
Take home pay = 6300 * 5/100 + 7.50 * 40
Take home pay = 315 + 300
Take home pay = 615 dollars.
Answer 615 <<<<
Answer:
.
Step-by-step explanation:
Over this interval, the change in the value of this function is:
.
The corresponding change in the value of 
:
.
The average rate of change of function 
over this interval is equal to the change in the function value divided by the corresponding change in :
.
Thus, the average rate of change of 
over the interval ![[-5,\, 2]](https://tex.z-dn.net/?f=%5B-5%2C%5C%2C%202%5D)
would be .
