Question

1. Evaluate the following:
@sin 60° cos 30° + sin 30° cos 60°
(i) 2 tan 45º+cox? 30° - sint 60
cos 45°
in
sec 30° + cosec 30°
(iv)
sin 30° + tan 45º - cosec 602
sec 30° + cos 60° + cot 45°
(v)
5 cos? 60° + 4 sec? 30° - tan? 45°
sin? 30° + cos2 30°
​

Answer 1

Answer:

@ sin60°cos30° + sin30°co60°

sin60°cos(90-60)° + sin(90-60)°cos60° [cos(90-x)=sinAx]

sin60°sin60° + cos60°cos60° [ sin(90-x)=cosx]

sin^2 60° + cos^2 60°

= 1 [sin x + cos x = 1]