State true or false- The value of expression tan- at -30- is 1 -

The correct option is A False 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)≠ 1. ...

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Standard X

Mathematics

State true or...

Question

State true or false. The value of expression $t a n θ - c o t θ a t θ = 30^{\circ}$ is 1.

True

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False

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Solution

The correct option is B
False

Value of $t a n θ a t θ = 30^{\circ} i s \frac{1}{\sqrt{3}}$

And the value of $c o t θ a t θ = 30^{\circ} i s \sqrt{3} .$
$S o, t a n 30^{\circ} - c o t 30^{\circ} = \frac{1}{\sqrt{3}} - \sqrt{3} \neq 1$ .

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Similar questions

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

State whether true or false.

\frac{tan θ + sec θ - 1}{tan θ - sec θ + 1} = sec θ + tan θ .

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

State whether true or false

sec θ - tan θ = 8

Then

sec θ + tan θ = \frac{1}{8}

State whether true or false:

sec θ - tan θ = 3

Then

sec θ + tan θ = - 3

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Standard X Mathematics

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State true or false. The value of expression tan θ−cot θ at θ=30∘ is 1.

The correct option is B False Value 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.

State true or false. The value of expression $t a n θ - c o t θ a t θ = 30^{\circ}$ is 1.

The correct option is B
False

Value of $t a n θ a t θ = 30^{\circ} i s \frac{1}{\sqrt{3}}$

And the value of $c o t θ a t θ = 30^{\circ} i s \sqrt{3} .$
$S o, t a n 30^{\circ} - c o t 30^{\circ} = \frac{1}{\sqrt{3}} - \sqrt{3} \neq 1$ .