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Could someone explain and show how to solve these

Could Someone Explain And Show How To Solve These class=

Sagot :

The answers to the given question are as follows:-

1.  Cos(∠mA)  =  [tex]\dfrac{3}{5}[/tex]

2. Sin(∠mA)   = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]

3. Tan(∠mB)  =  [tex]\dfrac{b}{a}[/tex]

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The angles will be calculated by using trigonometric identities.

1. For the first triangle:-

Cos∠mA = [tex]\rm \dfrac{Base}{Hypotenuse}[/tex]

We can see in the first triangle base is 3 and the hypotenuse is 5.

Cos∠mA =  [tex]\dfrac{3}{5}[/tex]

2. For the second triangle:-

Sin∠mA = [tex]\rm \dfrac{Perpendicualr }{Hypotenuse}[/tex]

We can see in the first triangle Perpendicular is √20 and the hypotenuse is √35.

Sin∠mA =  [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]

3. For the third triangle:-

Tan∠mB = [tex]\rm \dfrac{Perpendicualr }{Base}[/tex]

We can see in the first triangle Perpendicular is b and the Base is a.

Tan∠mA =  [tex]\dfrac{b}{a}[/tex]

Therefore  answers to the given question are as follows:-1. Cos(∠mA)  =  [tex]\dfrac{3}{5}[/tex]2. Sin(∠mA)   = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex] and 3. Tan(∠mB)  =  [tex]\dfrac{b}{a}[/tex]

To know more about Trigonometry follow

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