Question

sin^263+sin^227÷cos^217+cos^273​

Answer 1

Answer:

(Sin²63 + Sin²27 ) /(Cos²17 + Cos²73) = 1

Step-by-step explanation:

(Sin²63 + Sin²27 ) /(Cos²17 + Cos²73)

As we know that

Sin(90 - θ) = Cosθ

&Cos(90 - θ) = Sinθ

= (Sin²(90 - 27) + Sin²27 )) /(Cos²17 + Cos²(90 - 17))

= (Cos²27 +  Sin²27 )) /(Cos²17 + Sin²17)

We know that Sin²θ + Cos²θ = 1

=>  Cos²27 +  Sin²27  = 1

Cos²17 + Sin²17 = 1

= 1/1

= 1

(Sin²63 + Sin²27 ) /(Cos²17 + Cos²73) = 1