Question

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

Answer 1

Answer:

True

Step-by-step 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 $tan(0\°) =\frac{sin(0\°)}{cos(0\°)}$

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

Answer 2

Answer:true

Step-by-step explanation:

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