Question

find using trigonometric identity​

Answer 1

we know that

sin²15= cos²(90-15)= cos²75----first

cos²36=sin²(90-36)=sin²54-----second

now,

from first and second

(cos²75+sin²75)/(sin²54+cos²54)

since sin²A+cos²A=1

therefore we can write that

cos²75+sin²75 =1

and

sin²54+cos²54=1

so 1/1=1