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-BARSIC- [3]
2 years ago
9

If cosх A/2 =3/5, find the value of cos A​

Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Answer:

cosA = - \frac{7}{25}

Step-by-step explanation:

Using the double angle identity

cos2A = 2cos²A - 1 , then

cosA = 2cos²(\frac{A}{2} ) - 1 , that is

cosA = 2 × (\frac{3}{5} )² - 1

        = 2 × \frac{9}{25} - 1

       = \frac{18}{25} - \frac{25}{25}

       = - \frac{7}{25}

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