Question

(29. Without using tables, evaluate:
sin(50° + 0) - cos(40° - 0) + tan 1º tan 10° tan 20° tan 70° tan 80° tan 89​

Answer 1

Answer:

Sin(50 + Θ) - Cos(40 - Θ) + tan1*tan10*tan20*tan70*tan80*tan89

Sin(50 + Θ) - Sin(90-40 + Θ) + Cot(90 - 1)*Cot(90 - 10)*Cot(90 - 20)*tan70*tan80*tan89

Sin²(50 + Θ) + 1

Sin²(50 + Θ) + Sin²(50 + Θ) + Cos²(50 + Θ)

2Sin²(50 + Θ) + Cos²(50+Θ)