144k views
4 votes
Based on the image below, if you know that , find the following:

a) sin A
b) cos A
c) tan A
d) tan B

Based on the image below, if you know that , find the following: a) sin A b) cos A-example-1
User AgileJon
by
8.0k points

1 Answer

7 votes

Answer:

A. Sine A = 4/5

B. Cos A = 3/5

C. Tan A = 4/3

D. Tan B = 3/4

Explanation:

We'll begin by calculating the value of b in the attached photo.

This can be obtained as follow:

Cos B = 4/5

Cos B = Adjacent /Hypothenus

Adjacent = 4

Hypothenus = 5

Using pythagoras theory, the value of b can be obtained as follow:

b² = 5² – 4²

b² = 25 – 16

b² = 9

Take the square root of both side.

b = √9

b = 3

A. Determination of Sine A

Sine A =?

Opposite = 4

Hypothenus = 5

Sine A = Opposite /Hypothenus

Sine A = 4/5

B. Determination of Cos A

Cos A =?

Adjacent = 3

Hypothenus = 5

Cos A = Adjacent /Hypothenus

Cos A = 3/5

C. Determination of Tan A.

Tan A =?

Opposite = 4

Adjacent = 3

Tan A = Opposite /Adjacent

Tan A = 4/3

D. Determination of Tan B

Tan B =?

Opposite = 3

Adjacent = 4

Tan B = Opposite /Adjacent

Tan B = 3/4

Based on the image below, if you know that , find the following: a) sin A b) cos A-example-1
User Ignat
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories