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21 votes
21 votes
The question is in the image. Answer the question 25.

The question is in the image. Answer the question 25.-example-1
User Aglour
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3.2k points

1 Answer

24 votes
24 votes

The Solution to Question 25:

Given:


sec135^o

We are required to evaluate the given expression.


sec135^o=(1)/(\cos135^o)

Recall:


\cos135^o=-\cos(180-135)=-\cos45^o=-(√(2))/(2)

Thus,


sec135^o=(1)/(cos135^o)=(1)/(-(1)/(√(2)))=-(√(2))/(1)=-√(2)

Therefore, the correct answer is:


-√(2)

User Will Hogan
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3.3k points