Question

tan1°×tan2°×tan3°...........tan89°
Options:
A) 0
B) 1
C) tan90°
D) √3


Pls provide the expaination also

Answer 1

Step-by-step explanation:

we know that tan and cot are coplemetric angle ratios....hence tan 1° = cot(90-1°)

hence all ratios from tan 1°to tan89° are cancelling each other except the middle term....which is tan 45°.....which is 1....

hence answer is 1