Question

Could I get some help on these two Trig problems?

State the trigonometric ratios for the triangle below.


Sin ϴ = 12/13          Cos ϴ = 5/13       Tan ϴ = 12/5

Sin ϴ = 12/5            Cos ϴ = 5/13       Tan ϴ = 12/13

Sin ϴ = 5/13            Cos ϴ = 12/13     Tan ϴ = 5/12

Sin ϴ = 5/13            Cos ϴ = 12/13     Tan ϴ = 12/5    



State the trigonometric ratios for < A in the triangle below.
Sin A = 4/5    Cos A = 3/5         Tan A = 4/3  

Sin A = 3/5    Cos A = 4/5         Tan A = 4/3

Sin A = 3/5    Cos A = 4/3         Tan A = 4/5

Sin A = 3/5    Cos A = 4/5         Tan A = 3/4

Answer 1

Question 1: Sin ϴ = 5/13, Cos ϴ = 12/13, Tan ϴ = 5/12

Question 2: Sin A = 4/5, Cos A = 3/5,Tan A = 4/3

Explanation:

Here's proof showing that one of the questions is right. Hope this helps!

Answer 2

Part 1) Sin ϴ = 5/13, Cos ϴ = 12/13, Tan ϴ = 5/12

Part 2) Sin A = 4/5, Cos A = 3/5,Tan A = 4/3

Explanation:

we know that

In a right triangle

The function sine of an angle is equal to divide the opposite side to the angle by the hypotenuse

The function cosine of an angle is equal to divide the adjacent side to the angle by the hypotenuse

The function tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle

Part 1)

Find the Sin ϴ

Sin ϴ=5/13

Find the Cos ϴ

Cos ϴ=12/13

Find the Tan ϴ

Tan ϴ=5/12

Part 2) we know that

In the right triangle ABC

Applying the Pythagoras Theorem

Find the hypotenuse AB

`AB^(2)=6^(2)+8^(2)`

`AB^(2)=100`

`AB=10\ units`

Find the Sin A

Sin A=8/10=4/5

Find the Cos A

Cos A=6/10=3/5

Find the Tan A

Tan A=8/6=4/3