Question

In right angled ∆LMN, ∠LMN = 90°, ∠L = 50° and ∠N = 40°. Write the following ratios.

i. sin 50° 

ii. cos 50°a

iii. tan 40°

iv. cos 40°

Answer 1

 i. sin 50° = \(\cfrac{Opposite \,side \,of \,50°}{Hypotenuse}\) = \(\frac{MN}{LN}\) 

ii.cos 50° = \(\cfrac{Adjacent \,side \,of \,50°}{Hypotenuse}\) = \(\frac{LM}{LN}\) 

iii. tan 40° = \(\cfrac{Opposite\,side \,of \,40°}{Adjacent\,side\, of \,40°}\) = \(\frac{LM}{MN}\) 

iv. cos 40° = \(\cfrac{Adjacent \,side \,of \,40°}{Hypotenuse}\) = \(\frac{MN}{LN}\)