Question

what is the value of “2 tan23 tan35 tan30 tan55 tan 67”?

Answer 1

Answer:

hope this answer helps

Answer 2

Answer:

$2/\sqrt{3}$

Step-by-step explanation:

2 ( tan23 tan67 ) ( tan35 tan55 ) tan 30

=> 2 ( tan 23 cot[ 90 - 67 ] ) ( tan35 cot [ 90 - 55 ] ) $1/\sqrt{3}$  

=> 2 ( tan23 cot23 ) ( tan35 cot35 ) $1/\sqrt{3}$

tan and cot gets cancelled as cot is the reciprocal of tan

so,

2 * $1/\sqrt{3}$

so the answer is $2/\sqrt{3}$