Which of the following is a solution to the inequality

Ответ:

pearlielb

15.01.2021

Mathematics

The exact value of cos 75º is $\frac{\sqrt{6} - \sqrt{2}}{4}$

Step-by-step explanation:

We have to know the sine and cosine of three fundamental angles: 30º, 45º,60º. So

$\sin{30} = \frac{1}{2}, \cos{30} = \frac{\sqrt{3}}{2}$

$\sin{45} = \cos{45} = \frac{\sqrt{2}}{2}$

$\sin{60} = \frac{\sqrt{3}}{2}, \cos{60} = \frac{1}{2}$

The cosine of the sum of two angles is given by:

$\cos{a + b} = \cos{a}\cos{b} - \sin{a}\sin{b}$

In this question:

75º is the sum if 30º and 45º. So

$\cos{75} = \cos{30 + 45} = \cos{30}\cos{45} - \sin{30}\sin{45} = \frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2} - \frac{1}{2}\frac{\sqrt{2}}{2} = \frac{\sqrt{6} - \sqrt{2}}{4}$

The exact value of cos 75º is $\frac{\sqrt{6} - \sqrt{2}}{4}$

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Which of the following is a solution to the inequality below? d = 2
d = 6
d = 1
d = 3

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Which of the following is a solution to the inequality below? d = 2 d = 6 d = 1 d = 3

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Which of the following is a solution to the inequality below? d = 2
d = 6
d = 1
d = 3