Answer:
the answer to your question is f(2)=0 and g(-2)=0
To solve this expression, we need to follow the order of operations (BEDMAS)
50+0.5(41-32)
=50+0.5(9)
=50+4.5
=54.5
Your answer is 54.5
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Since Karl became sleepy and decided to decrease his driving time by 25%, he drove <u>767.25 hours</u> that day.
<h3>What is driving time?</h3>
Planned driving time is the estimated time that Karl planned to drive between two points or to one's destination.
The Actual driving time is the actual time that it took Karl to drive from one point to his destination.
Driving time can be estimated or calculated by dividing the distance by the speed.
<h3>Data and Calculations:</h3>
The planned driving hours on a certain day = 1,023 hours
Decrease in driving time = 25%
Percentage of hours Karl drove = 75% (100 - 25)
Hours drove that day = 767.25 hours (1,023 x 75%)
Thus, Karl drove <u>767.25 hours</u> that day.
Learn more about driving time at brainly.com/question/4931057
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