Question

9. If tan 0 = , find the value of
cos + sin e
cos - sin e​

Answer 1

Given,  tan θ = abab  And, we know by definition that  tan θ = oppositesideadjacentsideoppositesideadjacentside Thus, by comparison  Opposite side = a and adjacent side = b  To find the hypotenuse, we know that by Pythagoras theorem that  Hypotenuse2 = opposite side2 + adjacent side2 ⇒ Hypotenuse = √(a2 + b2)  So, by definition  sin θ = oppositesideHypotenuseoppositesideHypotenuse  sin θ = a(a2+b2)√a(a2+b2) And,  cos θ = adjacentsideHypotenuseadjacentsideHypotenuse  cos θ = b(a2+b2)√b(a2+b2)  Now, After substituting for cos θ and sin θ, we have Read more on Sarthaks.com - https://www.sarthaks.com/636220/if-tan-a-b-find-the-value-of-cos-sin-cos-sin