SOLUTION: Which of the following trigonometric functions of x is not correct given that sin x > 0 and sec x = -2?
• csc x = ( 2 sq rt 3) / 3
• cos x = - 1 / 2
• cot x = - ( sq rt 3 ) / 3
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Question 3656: Which of the following trigonometric functions of x is not correct given that sin x > 0 and sec x = -2?
• csc x = ( 2 sq rt 3) / 3
• cos x = - 1 / 2
• cot x = - ( sq rt 3 ) / 3
• tan x = - ( sq rt 3 ) / 2
Answer by Zenock(15) (Show Source): You can put this solution on YOUR website!
I'm not sure why this is under "Quadratic Equations" but oh well here we go.
First let's define the following in terms of sin(x) and cos(x):
so
so
Additionally we need to note that:
Now we begin.
First lets find the cos(x):
so cos x = - 1 / 2 is correct
Now lets find the sin(x) (Not in our list but needed):
so so
Therefore: or
However from the orginal problem: so
Using this information:
so csc x = ( 2 sq rt 3) / 3 is correct
so cot x = - ( sq rt 3 ) / 3 is correct
so tan x = - ( sq rt 3 ) / 2 is **** not correct ****
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