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slavikrds [6]
2 years ago
12

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Mathematics
1 answer:
ololo11 [35]2 years ago
4 0

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

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Can you help me with these too?<br> its for a geometry final practice<br> plisss
Rainbow [258]

Answer:

I think A and C

Step-by-step explanation:

Im srry if its wrong, but my older sister says that its A and C

6 0
3 years ago
Read 2 more answers
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is
trapecia [35]

Answer:4

Step-by-step explanation:What +7=11 bause the () make a multiplication and 11x3=33

4 0
3 years ago
Read 2 more answers
Help please
mezya [45]

Answer:

Step-by-step explanation:

Remark

My guess is that what is confusing you is not what you have to do, but why it is disguised as g(n)

What you are doing in effect is setting up a table. You are also not certain where the table starts. And that is a problem. I will start it at zero, but it might be 1.

zero

n = 0

g(0) = 34 - 5*0

g(0) = 34

One

n = 1

g(1) = 34 - 5*1

g(1) = 34 - 5

g(1) = 29

Two

g(2) = 34 - 5*2

g(2) = 34 - 10

g(2) = 24

Three

g(3) = 34 - 5*3

g(3) = 34 - 15

g(3) = 19

Four

g(4) = 34 - 5*4

g(4) = 34 - 20

g(4) = 19

Answer

0      1       2       3      4

34  29     24     19     14

7 0
2 years ago
Travis will complete a 60-mile trip in _____ hours?
Natasha2012 [34]

Answer:  2.5 hours is the answer

Step-by-step explanation:

It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles. 

So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)

To calculate speed, divide distance by time. 

For 3/4 of his trip (157.5), it took him 2.5 hours. 

157.5/2.5 = 63mph

For the remaining 52.5 miles, it took him an hour.

52.5/1 = 52.5mph

Now average those two speeds to get the average speed for the whole trip.

(63+52.5)/2= 57.6mph

5 0
3 years ago
6/9 is a rational number. Select all the rational numbers that are equivalent to .
Marianna [84]

Option b) and c) is correct, i.e. 2/3 and 0.66(line over 66)7

6/9 is a rational number.
similar ration number can be given as -

<h3>What is rational number?</h3>

Rational numbers are the numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

From the option, by above definition 2/3, 0.66(line over 66)7 seems to be an equivalent rational numbers because
6/9=2/3= 0.66(line over 66)7.

Thus, Rational numbers 2/3, 0.66(line over 66)7 are equivalent to 6/9.

Learn more about Rational numbers here:
brainly.com/question/17450097

#SPJ1

5 0
2 years ago
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