Question

Tan1degree+tan2degree +tan3degree+...........+tan89degree is equal to what

Answer 1

Answer:

1.

Step-by-step explanation:

We can solve this problem by using complementary angles in trigonometry

we know that tan(90-0)=cot 0         (here 0= theta)

tan 1 degree+tan 2 degree......tan 89 degree

tan 1 degree + tan 2 degree .......(cot 90-2)+cot(90-1)   ( since tan 88=cot 2)

therefore ,

tan0 x cot 0= 1

answer = 1