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A counterexample for the expression sin y tan y= cos y is 0.

A counterexample for the expression sin y tan y= cos y is 0.-example-1

2 Answers

3 votes

Answer:true

Explanation:

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User Rackable
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5 votes

Answer:

True

Explanation:

To answer this question we must evaluate

y = 0° on both sides of the equation.

For the left side we have:


sin(0\°) tan(0\°)

We know that
tan(0\°) =(sin(0\°))/(cos(0\°))

We know that
cos(0\°) = 1 and
sin(0\°) = 0.

Therefore
tan(0\°) = 0.

Then the left-hand side of the equals is equal to zero.

On the right side we have:


cos(y)

When evaluating
cos(y) at
y = 0

We have to
cos(0\°) = 1.

0 ≠ 1

The equation is not satisfied. Therefore y = 0 ° is a counterexample to the equation

User Kartik Ayyar
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5.9k points