Question

if 5 tana = 4 then find the value of seca using sustainable identity​

Answer 1

ǫᴜᴇsᴛɪᴏɴ →

if 5 tana = 4 then find the value of sec A using sustainable identity

ᴀɴsᴡᴇʀ →

$\longmapsto\tt{cot \: A=\dfrac{5}{7}}$

$\longmapsto\tt{tan A=\dfrac{1}{cot} \: \: A = \dfrac{7}{5}}$

$\longmapsto\tt{sec^2 A = 1 + tan^2 A.}$

$\longmapsto\tt{(cos \: a)^2 = 1 + (tan \: A)^2}$

$\longmapsto\tt{(sec \: A)^2 = 1 + \dfrac{7}{5}^2}$

$\longmapsto\tt{(sec A)^2=\dfrac{74}{25}}$

$\longmapsto\tt{sec \: A = root \: 74 ÷ 5 \: is \: the \: ans.}$

☞ Similarly, cosec^A = 1 + cot^2A

So, put the value of cot A in above identity.

We get,

$\tt{cosec \: A = root \: 74 ÷ 7..}$

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