Question

If sino - cos o =0, Find the value of sin⁴o + cos⁴o​

Answer 1

Answer:

$\frac{1}{2}$

Step-by-step explanation:

sin∅ - cos∅ = 0

sin∅ = cos∅

∴∅ = π/4 or 45°

sin45°=  cos 45°=1/√2

sin^4 ∅  + cos^4 ∅

⇒$(\frac{1}{\sqrt{2} } )^{4} +(\frac{1}{\sqrt{2} } )^{4}$

⇒$\frac{1}{4}+ \frac{1}{4}$

⇒$\frac{1}{2}$

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