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Select the correct answer from the drop down menu in this triangle ,the product of tan a and tan c is

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4.24
17.98
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Select the correct answer from the drop down menu in this triangle the product of tan a and tan c is Answers 1 424 1798 Insufficient data class=

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Hrishii

Step-by-step explanation:

[tex] \tan A = \frac{BC }{AB} \: \\ \\ \tan C = \frac{AB}{BC} \\ \\ \therefore \: \tan A \times \tan C = \frac{BC }{AB} \times \frac{AB}{BC} \\ \\ \purple{ \boxed{ \therefore \: \tan A \times \tan C = 1}}[/tex]

The value of tanA×tanC is 1 because tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

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 right angle triangle shown in the figure.

tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

tanA = BC/AB

tanC = AB/BC

tanA×tanC = (BC/AB)×(AB/BC)

tanA×tanC = 1

Thus, the value of tanA×tanC is 1 because tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

Learn more about trigonometry here:

brainly.com/question/26719838

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