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beks73 [17]
4 years ago
12

Find tan2θ if θ terminates in Quadrant IV and cosθ =3/5 .

Mathematics
1 answer:
Liula [17]4 years ago
6 0

Answer:

The answer to your question is  \frac{-8}{3}

Step-by-step explanation:

Data

cos Ф = 3/5

tan2Ф = ?

Quadrant IV

Process

1.- Remember that tanФ = \frac{Opposite side}{Adjacent side}  and cos Ф = \frac{adjacent side}{hypotenuse}

then,    adjacent side = 3 and hypotenuse = 5

2.- Calculate opposite side

             O² = h² - a²

             O² = 5² - 3²

             O² = 25 - 9

              O² = 16

              O = 4

3.- Calculate the tan 2Ф

            tan 2Ф = 2(\frac{-4}{3})       The opposite side is negative in the fourth

                                           quadrangle

            tan 2Ф = \frac{-8}{3}

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