SOLUTION: If cosθ=-3/5, find cos(π/2-θ). Write your answer as a fraction.
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Question 1186273: If cosθ=-3/5, find cos(π/2-θ). Write your answer as a fraction.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If => and
then
or
so, or
since , we have
or
Answer by ikleyn(52850) (Show Source): You can put this solution on YOUR website!
.
Listen to me attentively: it is VERY IMPORTANT.
@MatLover1 gave one single answer, but the problem, as it is given in the post,
has TWO possible answers.
They are PLUS or MINUS values given by @MathLover1.
It is because EVERY SQUARE ROOT has two values: one positive and one negative.
Based on given condition, it is not possible to say which one of the two values is the answer:
they BOTH are answers.
To extract a unique answer, the problem MUST SPECIFY to which quadrant the given angle does belong.
Since the problem does not provide this info, the posted condition is DEFECTIVE.
Or the answer by @MathLover1 is incomplete.
You can treat it IN EITHER WAY.
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