Question

if sintheta-costhete =0 then the value of sin4theta+cos4theta​

Answer 1

It is given that,

sin theta - cos thata = 0

=> sin theta = cos theta

=> sin theta / cos theta = 1

=> tan theta = 1

=> tan theta = tan 45°

=> theta = 45°

Therefore,

sin⁴ theta + cos⁴ theta

= sin⁴ 45° + cos⁴ 45°

= (1/√2)⁴ + (1/√2)⁴

= (1/4) + (1/4)

= (2/4)

= (1/2)

Hope it helps.

Answer 2

Answer:

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