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Gemiola [76]
3 years ago
11

THE EXPRESSION (TAN THETA) (CSC THETA) IS EQUAL TO?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0
tan\theta\cdot csc\theta=\frac{sin\theta}{cos\theta}\cdot\frac{1}{sin\theta}=\frac{1}{cos\theta}=sec\theta
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5 0
3 years ago
Read 2 more answers
If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

34a = 36\times17

Simplifying both sides by 17:

2a = 36

a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0
3 years ago
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