<span>So rather than think about how to find the whole numbers, let's try to find the two perfect squares nearest to 38. There is one greater than it and one smaller than it. The square root will lie between the squared value of each. (e.g. 64 is the perfect square, 8 is the squared value i refer to)
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6 ,7. 6squared is 36 and 7 squared is 42

therefore 38 lies between these two numbers</span>

5 0

3 years ago

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Find the exact value of csc ø, if cos ø= 1/9; 180° less ø less than 270°

Iteru [2.4K]

Answer:

The answer to your question is: the first option - 9/ $\sqrt{80}$

Step-by-step explanation:

Process

cosФ = adjacent side / hypotenuse

-1/9 = adjacent side / hypotenuse

adjacent side = -1 hypotenuse = 9

c² = a² + b²

b² = c² - a²

b² = 81 - 1

b = $\sqrt{80} \\$ b = opposite side

But b is negative because we are in the third quadrant.

b = - $\sqrt{80}$

Finally csc Ф = hypotenuse / opposite side

csc Ф = - 9 / $\sqrt{80}$

4 0

3 years ago