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3 years ago

PLEASE HELP FAST ILL GOVE BRAINLIST AND EXTRA POINTS! What was Pam’s First Mistake

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer: Step 2 was pam's error

Step-by-step explanation:

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Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

Let sets A and B be defined as follows.

erica [24]

There are 4 elements in the set A and 8 elements in set B that is n(A) = 4 and n(B) = 8

<h3>Cardinality of a set</h3>

This is the total number of elements in a set. Given the following sets;

A = {c, d, e, f}

B = {odd numbers greater than 5 and less than 23}

B = {7,9,11,13, 15, 17, 19, 21}

Since there are 4 elements in the set A and 8 elements in set B hence n(A) = 4 and n(B) = 8

Learn more on cardinality of set here: brainly.com/question/23976339

#SPJ1

6 0

2 years ago

a car and a truck are moving at thr same speed. the car drives 2 hours . thr truck continue for another half hour at the same sp

Gelneren [198K]

I think the answer is C, but I don't even understand you're question is. do you want to know the mph they were going? if so then your answer is C

3 0

4 years ago

Evaluate the following expression 2+(3-2x2)x1

Firdavs [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A pool measuring 16 meters by 22 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the po

lesantik [10]

Let X be the width of the path.

The width of the path would be the width of the pool plus 2x, so 2x +16

The length of the path would be the length of the pool plus 2x, so 2x+22

The total area is 832 square feet.

Area is found by multiplying the length by the width.

So you have:

(2x+16) (2x+22) = 832

Use the Foil Method:

(2x+16) (2x+22) = 4x^2 +76x+352

Now you have:

4x^2 +76x+352 = 832

Subtract 832 from both sides:

4x^2 +76x+352-832 = 0

Simplify:

4x^2 +76x -480

Factor the left side:

4(x-5)(x+24) = 0

Divide both sides by 4:

(x-5)(x+24) = 0

Set both parenthesis to equal 0 and solve for x:

x=5 and x = -24

The width of the path cannot be a negative number, so the width is 5 meters.

8 0

3 years ago