Question

Select the true statement about triangle ABC. 5 O A. Cos A = tan c B. cos A = sin 0 C. cos A = cos 0 O D. Cos A = sin B​

Answer 1

Answer:

B

Step-by-step explanation:

cosine is adjacent over hypotenuse so cos A would be 12/13. sine is opposite over hypotenuse so sin C would be 12/13. making them equal.

Answer 2

The true statement about triangle $ABC$ is $CosA=SinC$.

What are trigonometric ratios?

Trigonometric ratios are ratios of two side lengths of right triangle.

We have,

Triangle $ABC$,

$AB=12$

$BC=5$

$AC=13$,

So,

$CosA=\frac{AB}{AC}$  

$CosA=\frac{12}{13}$

Now,

Now, Check for $TanC$,

$TanC=\frac{AB}{BC}$

$TanC=\frac{12}{5}$

This means option is not he answer.

So,

Now,  Check for $SinC$,

$SinC=\frac{AB}{AC}$

$SinC=\frac{12}{13}$

Here, we can see that $CosA$ and $SinC$ are equal i.e.$CosA=SinC$.

Hence, we can say that the true statement about triangle $ABC$ is $CosA=SinC$.

To know more about Trigonometric ratios click here

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