Question

prove tan1.tan2.tan3.....tan 88.tan89​

Answer 1

Answer:

the expression gives answer 1

Step-by-step explanation:

tan (90-A) = cot A

also that cot A x tan A =1

so using this when we move from tan 1 to tan 44 we also move from cot 1 to cot 44

we keep multiplying these to get result 1 in each

then finally we come to 1x tan 45

tan 45 is also 1

1 x 1=

1