Respuesta :

Answer:

B. 9/40

Step-by-step explanation:

just got the answer

The value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric ratio:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

sinθ = 9/41

sin is the ratio of the side opposite to the hypotenuse.

From the Pythagoras theorem:

Adjacent side² = hypotenuse² - opposite²

Adjacent side² = 41² - 9²

Adjacent side = 40

tan is the ratio of the side opposite to the adjacent

tanθ = 9/40

Thus, the value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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