Question

The value of tan35° tan40° tan 60° tan50° tan55° is

a) 1
b) 2
c) √2
d) √3

Answer 1

Answer:

1 is the correct answer if any problem then tell me

Answer 2

Answer:

tan35° × tan40° × tan45° × tan50° × tan55°

tan35° × tan40° × tan45° × tan50° × tan55°= tan35° × tan40° × tan45° × tan(90°—40°) × tan(90°—35°)

tan35° × tan40° × tan45° × tan50° × tan55°= tan35° × tan40° × tan45° × tan(90°—40°) × tan(90°—35°)=tan35° × tan40° × tan45° × cot40° × cot35°

tan35° × tan40° × tan45° × tan50° × tan55°= tan35° × tan40° × tan45° × tan(90°—40°) × tan(90°—35°)=tan35° × tan40° × tan45° × cot40° × cot35°=tan35° × tan40° × tan45° × (1÷tan40°) × (1÷tan35°)

tan35° × tan40° × tan45° × tan50° × tan55°= tan35° × tan40° × tan45° × tan(90°—40°) × tan(90°—35°)=tan35° × tan40° × tan45° × cot40° × cot35°=tan35° × tan40° × tan45° × (1÷tan40°) × (1÷tan35°)=tan45°

tan35° × tan40° × tan45° × tan50° × tan55°= tan35° × tan40° × tan45° × tan(90°—40°) × tan(90°—35°)=tan35° × tan40° × tan45° × cot40° × cot35°=tan35° × tan40° × tan45° × (1÷tan40°) × (1÷tan35°)=tan45° =1