$\text{Given that,}~\\\\\cot \theta = \dfrac 1{\sqrt 3} \\\\\\\text{So,}~~ \tan \theta = \dfrac 1{\cot \theta} = \sqrt 3\\\\\\\sec^2 \theta + \csc^2 \theta \\\\=(1+\tan^2 \theta) + (1 + \cot^2 \theta)\\\\=1 +\left (\sqrt 3 \right)^2 + 1 + \left(\dfrac 1{\sqrt 3} \right)^2\\\\=1 +3 + 1 + \dfrac 13 \\\\= 5 + \dfrac 13 \\\\= 5 \dfrac 13$

7 0

2 years ago

Mei is standing next to a statue in the park. If Mei is 5 feet tall, her shadow is 3 feet long, and the statues shadow is 10 1/2

alisha [4.7K]

The problem presented above is an example in which we can use the concept of ratio and proportion. The ratio between the heights of Mei and the statue should be the same to the ratio of their shadows. Letting x be the height of the statue.
5 ft/ x ft = 3 ft / 10.5 ft
The value of x from the equation above is 17.5 ft.

5 0

3 years ago

Protein, like carbohydrates and fat, contains calories. The following table shows different amounts of protein and their related

soldier1979 [14.2K]

Answer:

yes the answer is proportional!! :)

Step-by-step explanation:

4 0

3 years ago

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