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3 years ago

Verify the trigonometric identity. convert the left side of the relationship to look like the right side.

Mathematics

1 answer:

Tomtit [17]3 years ago

5 0

Answer:

Verified

Step-by-step explanation:

Use $\tan{x}=\frac{\sin{x}}{\cos{x}}$ , $\sin^2{x}+\cos^2{x}=1$ and $\sec{x}=\frac{1}{\cos{x}}$

LHS= $\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}$ =RHS

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Six students are running for the positions of president and vice-president, and five students are running for secretary and trea

horrorfan [7]

Using the permutation formula, it is found that there can be 600 winning combinations.

There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the <em>permutation formula</em> is used.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem:

For president and vice-president, 2 students are chosen from a set of 6.

For secretary and treasurer, 2 students are chosen from a set of 5.

Hence:

$T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600$

There can be 600 winning combinations.

More can be learned about the permutation formula at brainly.com/question/25925367

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vazorg [7]

Answer:

Step-by-step explanation:

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The product of the roots of x² 6x - 55 = 0 is:

Firdavs [7]

The roots of x^{2} 6x-55=0 the answer is going to be

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igor_vitrenko [27]

Answer:

Nice art work, dear

Step-by-step explanation:

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