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What is the right choice for question 5) ? http://postimg.org/image/y6nshwmef/

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lkballer24 | Student, Grade 11 | (Level 1) Valedictorian

Posted August 17, 2013 at 10:10 PM via web

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What is the right choice for question 5) ?

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted August 18, 2013 at 2:35 AM (Answer #1)

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Given the function y=sin(2x)-1, we are asked to find the slope of the secant line between `x=30^@` and `x=60^@` .

The slope of the secant line between two points `(x_1,y_1),(x_2,y_2)` is `m=(y_2-y_1)/(x_2-x_1)`

`y_(30^@)=sin[2(30^@)]-1=sin(60^@)-1=sqrt(3)/2-1`

`y_(60^@)=sin[2(60^@)]-1=sin(120^@)-1=sqrt(3)/2-1`

`y_(60^@)-y_(30^@)=sqrt(3)/2-1-(sqrt(3)/2-1)=0` .

Therefore the slope is zero, and the answer is (a).

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