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2 years ago

Prove that 1/sec0-tan0= sec0+tan0

Mathematics

1 answer:

Leviafan [203]2 years ago

7 0

Answer:

Step-by-step explanation:

$\text{LHS}=\frac{1}{\sec \theta-\tan \theta}\\=\frac{\sec \theta+\tan \theta}{(\sec \theta-\tan \theta)(\sec \theta+\tan \theta)}\\=\frac{\sec \theta+\tan \theta}{\sec^{2} \theta-\tan^{2} \theta}\\=\frac{\sec \theta+\tan \theta}{1}\\=\sec \theta+\tan \theta\\=\text{RHS}$

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Simplify expression 2/3[3f+12]+f

neonofarm [45]

Answer:

= 3f + 8

Step-by-step explanation:

Given that:

= 2/3[3f+12]+f

By simplifying:

2/3 will be multiplied inside the bracket as follows:

= 2/3*3f + 2/3*12 + f

By cancelling the terms with each other we get:

= 2f + 24/3 + f

By simplifying the fraction we get:

= 2f + 8 + f

Adding like terms

= 3f + 8

This is the simplified expression.

i hope it will help you!

4 0

3 years ago

Which is the graph of the linear function that is represented by the equation Y=1/2x-2?

Dennis_Churaev [7]

Answer:

the slope is 1/2 and the y intercept it 4

5 0

3 years ago

Read 2 more answers

Pls help will give brainliest to best answer

NNADVOKAT [17]

Answer:

y=250x-4

Step-by-step explanation:

If y represents the amount of money made in a week, y=250.

If x represents the amount of cakes that are made, x=?

You make $250(y) a week, you then spend $4(x) per cake, this would make the equation:

y=250x-4

3 0

3 years ago

Six football players, all defensive linemen, decide that they'll gain an average of 10 pounds over the summer. At the start of t

noname [10]

Answer: b. 14 pounds

Step-by-step explanation:

Formula to calculate average :

$\text{Average}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$

Let x denotes the number of pounds the last person have to gain so that the group can attain its goal.

Required average = 10 pounds

Observations = 9, 13, 11, 6, 7 and x (pounds)

Number of observations= 6

Sum of all observations = 9+13+ 11+ 6+7+x=46+x

According to the question , we have

$10=\dfrac{46+x}{6}\\\\ 46+x=10\times6\\\\ 46+x=60\\\\ x=60-46=14$

i..e the last person has to gain 14 pounds so that the group can attain its goal.

Hence, the correct answer is b. 14 pounds .

7 0

4 years ago

Find the quotient 3 6/7 divided by 5/21

Snezhnost [94]

Answer:

81/5 or 16 1/5.

Step-by-step explanation:

First convert the mixed number to an improper fraction:

3 6/7

= (3*7 + 6) / 7

= 27/7.

So we have

27/7 / 5/21

Invert the second fraction and multiply:

= 27/7 * 21/5

= (27*21) / (7*5)

= (27*3) / 5 ( as 21/7 = 3)

= 81/5

= 16 1/5.

5 0

2 years ago