The value of the below expression istan 1- tan 89-tan 2- tan 88-

The given expression is tan 1^∘. tan 89^∘.tan 2^∘. tan 88^∘ ∵ tan θ = cot (90 θ) ⇒ tan 1^∘. cot 1^∘.tan 2^∘. cot 2^∘ ∵ tan θ = 1/cot θ ∴ tan 1^∘. cot 1^∘.tan ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Introduction to Trigonometry

The value of ...

Question

The value of the below expression is
$t a n 1^{\circ} . t a n 89^{\circ} . t a n 2^{\circ} . t a n 88^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Not defined

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 1
The given expression is
$t a n 1^{\circ} . t a n 89^{\circ} . t a n 2^{\circ} . t a n 88^{\circ}$
$∵ t a n θ = c o t (90 - θ)$
$\Rightarrow t a n 1^{\circ} . c o t 1^{\circ} . t a n 2^{\circ} . c o t 2^{\circ}$
$∵ t a n θ = \frac{1}{c o t θ}$
$∴ t a n 1^{\circ} . c o t 1^{\circ} . t a n 2^{\circ} . c o t 2^{\circ} = 1$

Suggest Corrections

Similar questions

Q. The value of the below expression is

t a n 1^{\circ} . t a n 89^{\circ} . t a n 2^{\circ} . t a n 88^{\circ}

Q. The value of the below expression is

t a n 1^{\circ} . t a n 89^{\circ} . t a n 2^{\circ} . t a n 88^{\circ}

Q. What is the value of the expression

tan 1^{\circ} tan 89^{\circ} . tan 2^{\circ} . tan 88^{\circ}

The value of the expression tan 1 ° \times tan 2 ° \times tan 3 ° \times . . . \times tan 89 ° is

$t a n 1^{\circ} . t a n 89^{\circ} = t a n 2^{\circ} . t a n 88^{\circ}$

Join BYJU'S Learning Program

The value of the below expression is tan 1∘.tan 89∘.tan 2∘.tan 88∘

The correct option is B 1The given expression is tan 1∘.tan 89∘.tan 2∘.tan 88∘ ∵tan θ=cot(90−θ) ⇒tan 1∘.cot 1∘.tan 2∘.cot 2∘ ∵tan θ=1cot θ ∴tan 1∘.cot 1∘.tan 2∘.cot 2∘=1

The value of the below expression is
$t a n 1^{\circ} . t a n 89^{\circ} . t a n 2^{\circ} . t a n 88^{\circ}$