Find the value of theta in (pi/2,pi) if cos theta = -12/5

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

You have given that cos theta = -12/5 and we have to determine the values of theta that satisfy the relation.

-12/5 = -2.4

But the cosine of any number lies in the interval [-1, 1]

Therefore there can be no theta such that cos theta = -12/5

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

It is impossible for a cosine of an angle to be smaller than -1.

We notice that cos `theta` =-12/5 = -2.4 < -1

Therefore, there is no value for `theta` in the given interval (`pi` /2 ; `pi` ), for cos `theta` = -12/5.

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