The value of tan $1^{\circ} . t a n 2^{\circ} . t a n 3^{\circ} . . . . . . . . . . t a n 89^{\circ}$ is :

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\frac{1}{2}

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Solution

The correct option is B 1
$tan θ = cot (90^{\circ} - θ)$
$∴ tan 1^{\circ} = cot 89^{\circ}$
$cot 89^{\circ} = \frac{1}{tan 89^{\circ}}$
Similarly all the term will cancel out each other, except $tan 45^{\circ}$ , whose value is equal to 1.

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Question 6
The value of $(t a n 1^{\circ}, t a n 2^{\circ}, t a n 3^{\circ} \dots \dots t a n 89^{\circ})$ is

(A) 0
(B) 1
(C) 2
(D) $\frac{1}{2}$

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Q. The value of tan 1° tan 2° tan 3° _________ tan 89° is _________.

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tan 1^{\circ} tan 2^{\circ} tan 3^{\circ} \dots tan 89^{\circ}

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The value of tan1∘.tan2∘.tan3∘..........tan89∘ is :

The correct option is B 1tanθ=cot(90∘−θ)∴tan1∘=cot89∘cot89∘=1tan89∘Similarly all the term will cancel out each other, except tan45∘, whose value is equal to 1.

The value of tan $1^{\circ} . t a n 2^{\circ} . t a n 3^{\circ} . . . . . . . . . . t a n 89^{\circ}$ is :

The correct option is B 1
$tan θ = cot (90^{\circ} - θ)$
$∴ tan 1^{\circ} = cot 89^{\circ}$
$cot 89^{\circ} = \frac{1}{tan 89^{\circ}}$
Similarly all the term will cancel out each other, except $tan 45^{\circ}$ , whose value is equal to 1.