Question

If sec 36 degree = a. Find the value of tan 54 degree​

Answer 1

♡⚘✮ʜᴇʏᴀ ᴍᴀᴛᴇ ʜᴇƦᴇ ɪS ʏᴏᴜƦ ᴀɴSᴡᴇƦ :

$sec \: 36 = a \: \\ cos \: 36 = \frac{1}{a} \\ cos \: (90 - 54) = \frac{1}{a} \\ sin \: 54 = \frac{1}{a} \\ cos \: 54 = \sqrt{1 - sin2 \: 54} \\ \sqrt \frac{1 - 1}{ {a}^{2} } \\ \frac{1}{a} \sqrt{ {a}^{2} } - 1 \\ so \\ tan \: 54 = \frac{sin \: 54}{cos \: 54} = \frac{1}{\sqrt{ {a}^{2} } } - 1$

♡Hope it helps uh Plzzz mark as brainliest ♡

Answer 2

Step-by-step explanation:

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