The value of expression tan- at -30- is 1 -

The correct option is B FalseFalse Value of tan θ at θ = 30^∘ is 1/√(3) and the value of cot θ at θ = 30^∘ is √(3). So, tan 30^∘ cot 30^∘ = 1/√(3) √(3 ...

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Standard X

Mathematics

Standard Values of Trigonometric Ratios

The value of ...

Question

$T h e v a l u e o f e x p r e s s i o n t a n θ - c o t θ a t θ = 30^{\circ} i s 1$ .

True

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False

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Solution

The correct option is B False
$F a l s e V a l u e o f t a n θ a t θ = 30^{\circ} i s \frac{1}{\sqrt{3}}$
$a n d t h e v a l u e o f c o t θ a t θ = 30^{\circ} i s \sqrt{3} .$
$S o, t a n 30^{\circ} - c o t 30^{\circ} = \frac{1}{\sqrt{3}} - \sqrt{3} \neq 1$ .

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The value of expression tan θ−cot θ at θ=30∘ is 1.

The correct option is B FalseFalseValue of tan θ at θ=30∘is1√3 and the value of cot θ at θ=30∘ is √3. So,tan 30∘−cot 30∘=1√3−√3≠1.

$T h e v a l u e o f e x p r e s s i o n t a n θ - c o t θ a t θ = 30^{\circ} i s 1$ .

The correct option is B False
$F a l s e V a l u e o f t a n θ a t θ = 30^{\circ} i s \frac{1}{\sqrt{3}}$
$a n d t h e v a l u e o f c o t θ a t θ = 30^{\circ} i s \sqrt{3} .$
$S o, t a n 30^{\circ} - c o t 30^{\circ} = \frac{1}{\sqrt{3}} - \sqrt{3} \neq 1$ .