Question

tan1*tan2* tan3 *...tan89
​

Answer 1

Answer:

Hope it helps!! Mark this answer as brainliest if u found it useful and follow me for quick and accurate answers...

Step-by-step explanation:

tan 1° tan 2° tan 3° … tan 89°

= [tan 1° tan 2° … tan 44°] tan 45°[tan (90° – 44°) tan (90° – 43°)… tan (90° – 1°)]

= [tan 1° tan 2° … tan 44°] [cot 44° cot 43°……. cot 1°]

= [tan 1°*cot 1°* tan 2°*cot 2°…..tan 44° * cot 44° ]

= We know that tanA *cotA=1

Hence, the equation becomes

= 1 x 1 x 1 x 1 x … x 1

= 1   { As 1ⁿ = 1}

Answer 2

Answer:

hope it's help you ✌️✌️☺️