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elena55 [62]
4 years ago
9

Find the exact value of sec(–135°).

Mathematics
2 answers:
Jlenok [28]4 years ago
4 0

Answer: -\sqrt{2}

Step-by-step explanation:

The trigonometric function secant is the reciprocal of cosine:

sec(\alpha)=\frac{1}{cos(\alpha)}

For -135\°:

sec(-135\°)=\frac{1}{cos(-135\°)} (1)

On the other hand, it is known cos(-\alpha)=cos(\alpha), hence:

cos(-135\°)=cos(135\°) (2)

In addition, it is known cos(135\°)=-cos(45\°)=-\frac{\sqrt{2}}{2} (3)

Substituting this on (1):

sec(-135\°)=\frac{1}{-\frac{\sqrt{2}}{2}} (4)

sec(-135\°)=-\frac{2}{\sqrt{2}} (5)

sec(-135\°)=-\frac{2}{\sqrt{2}}(\frac{\sqrt{2}}{\sqrt{2}}) (6)

Finally:

sec(-135\°)=-\sqrt{2}

Ad libitum [116K]4 years ago
4 0

Answer:

B

Step-by-step explanation:

Its B on Edge

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Answer:

Step-by-step explanation:

Given that a pie chart shows data as

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Required probability = P(X=4)

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Given f(x) = 3 and g(x) = -2x x 5<br> Find f(x) · g(x)
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