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Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.

Find cot A when b = 6 and c = 7.

can someone work this out step by step?

Respuesta :

Here, suppose, c is the length in opposite site to angle C. Same pattern for other two!!
So, we have: Base = 6
Perpendicular = ?
Hypotenuse = 7 

Now, calculate base by applying Pythagoras theorem, 
H² = P² + B²
7² = 6² + P²
P² = 49 - 36
P = √13

Now, we know cot A = B/P = 6/√13

In short, Your Answer would be 6/√13

Hope this helps!

Two sides of a right triangle ABC (C is the right angle) are given.  the trigonometric function of the given angle cot A is 6/√13

What are the trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

Two sides of a right triangle ABC (C is the right angle) are given.

Let P be the length in opposite site to angle A.

So, we have:

Base = 6

Perpendicular = ?

Hypotenuse = 7

Now, we can calculate base by applying Pythagoras theorem,

H² = P² + B²

7² = 6² + P²

P² = 49 - 36

P = √13

Now, we know

cot A = Base /Perpendicular

         = 6/√13

Thus, Answer would be 6/√13.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ2

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