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Rudik [331]
3 years ago
6

Trigonometric identities assignment 4

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer:

<em>Answer: choice D.</em>

Step-by-step explanation:

<u>Trigonometric Functions</u>

We need to recall some properties and definitions of the trigonometric functions.

\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}

\displaystyle \sec \theta=\frac{1}{\cos\theta}

We need to simplify the following expression:

5\sin\theta\sec\theta

Substituting the identity for the secant:

\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}

Operating:

\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}

Substituting the definition of the tangent:

\displaystyle 5\sin\theta\sec\theta=5\tan\theta

Correct choice D.

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a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl. What is t
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Answer:

0.25

Step-by-step explanation:

Given that a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl.

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X is binomial with n = no of trials = 4 and p =0.5

the probability that they will have three boys and one girl

=P(X=3)\\=4C3(0.5)^3(0.5)\\= 0.25

Reqd prob = 0.25

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4 years ago
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Alisiya [41]

Answer:

1.35!

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
400 grams = 480 ml<br> so,<br> 180 grams = ?
Viefleur [7K]

Answer: 216 ml

Step-by-step explanation:

400 grams = 480 ml

180 grams = ?

Since the value of 180 grams in milliliters is unknown, let the unknown be Z

Thus, 400 grams = 480 ml

180 grams = Z

To get the value of Z, cross multiply

Then, Z x 400 grams = 480ml x 180 grams

400Z = 86400

Divide both sides by 400

400Z/400 = 86400/400

Z = 216

Thus, 180 grams is equal to 216 milliliters.

5 0
3 years ago
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