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maxonik [38]
2 years ago
15

The trigonometric ratios sine and secant are reciprocals of each other true or false?

Mathematics
2 answers:
kodGreya [7K]2 years ago
7 0

True: The trigonometric ratios sine and secant are reciprocals of each other

jek_recluse [69]2 years ago
4 0

That's FALSE.


It's sine and cosecant that are reciprocals, as are cosine and secant, as well as tangent and cotangent.


The "co" or complementary functions are their corresponding non-complementary function applied to the complementary angle: cos(x) = sin(90-x), that kind of thing.


The non-co functions sine, secant and tangent all increase with increasing angle in the first quadrant. The co functions all decrease.


Since when sine increases its reciprocal decreases, its reciprocal must be one of the co functions, and of course it's cosecant.



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3 years ago
7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a
MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

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In this problem, we ahve that:

T = 38200, P = 7500, I = 0.075

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First we find how much we have to earn in interest.

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