Q24. The value of (tan1° tan2° tan3° … tan89°) is

Question

(A) 0
(B) 1
(C) 2
(D)1/2

in progress 0
swatiqna 3 years 2021-12-23T11:34:43+00:00 1 Answer 6 views Enlightened 0

Answer ( 1 )

    0
    2021-12-23T11:35:19+00:00

    Answer: (B)
    Explanation: This can be written as,
    (tan1° tan2° tan3° … tan89°)
    (tan1° tan2° tan3° ……. tan44°
    tan45° tan46° …..
    tan87°tan88°tan89°)
    = [tan1° tan2° tan3° ……. tan44°
    tan45° tan (90 – 44)° ….. tan(90° –
    3) tan (90° – 2) tan (90° – 1)]
    = (tan1° tan2° tan3° ……. tan44°
    tan45° cot 44° ….. cot3° cot2° cot
    1°)
    = 1

Leave an answer