Question

if 4tan theta=3 then value of (sin^4theta+cos^4theta) is?

Answer 1

${\huge {\mathfrak {Answer :-}}}$

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Hey user, I'm writing $\theta$ as A.

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So, it goes like this ⬇️⬇️

⚠️ 4 tan A = 3

Or, tan A = 3/4

Or, sin A / cos A = 3/4

Or, 4 sin A = 3 cos A

Or, sin A / 3 = cos A / 4

Or, sin A / 3 = cos A / 4 =

$\sqrt { (sin^2 A + cos^2 A) / (3^2 + 4^2) }$

Or, sin A / 3 = cos A / 4 = 1/5

Or, sin A = 3/5 and cos A = 4/5.

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⚠️ sin^4 A + cos^4 A

= 81/625 + 256/625

= 337/625.

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✨ HOPE THIS HELPS ✨

Answer 2

Answer:

337/625

See attachment for details