Question

show that sin 35°55°x tan40°tan50°=1

Answer 1

we can write cos(90-theta)×sec55°×cot(90-theta)×tan50°
cos55°×sec55°×cot50°×tan50
1/sec50°×sec55°×1/tan50°×tan50°
1×1=1
hence proved

Answer 2

hii here is your ans...
sin35 × sec55 ×tan40×tan50=1
sin35×1/cos55×tan40×1/cot50
sin35/cos 35×tan40/cot50
sin35/cos(90-35)×tan40/cot(90-40)
sin35/sin35×tan40/tan40
1×1=1...... proved


hope this helps you......