Q23 of 180 Page 2

Calculate the value of the expression


OR


If sin – cos = 0, then calculate the value of (sin4 + cos4).



⇒


⇒


(∵cos(90° – θ) = sin θ and sin(90° – θ) = cos θ)


⇒



(Since, as by identity, sin2 θ + cos2 θ =1


So, and sin2 63° + cos2 63° = 1)


∴


OR


sin θ – cos θ = 0




)


And we know, tan 45° = 1


So, tan θ = 1 = tan 45°


By comparing above equation, we get θ = 45°


Thus,


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