State True or False-tan 47- 43-1

The correct option is B TrueWe know that cot(90^∘ θ) = tanθ Therefore, cot (90 47)^∘ = tan 47^∘ cot 43^∘ = tan 47^∘ tan 47^∘/cot 43^∘ = 1 Hence, True. ...

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Byju's Answer

Standard X

Mathematics

Standard Values of Trigonometric Ratios

State True or...

Question

State True or False.

$\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1$

True

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False

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Solution

The correct option is A True
We know that $c o t (90^{\circ} - θ) = t a n θ$

Therefore, $c o t (90 - 47)^{\circ} = t a n 47^{\circ}$
$c o t 43^{\circ} = t a n 47^{\circ}$
$\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1$
Hence, True.

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Similar questions

\frac{tan 47^{\circ}}{cot 43^{\circ}} = 1

.Is it true or false?

Q. State True or False.

\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1

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State whether the given statements are true or false
$1^{0} \times 0^{1} = 1$

Question 45

State whether the given statements are true or false
$3^{4} > 4^{3}$

Question 43

State whether the following statement is true (T) or false (F).

If $\frac{x}{3} + 1 = \frac{7}{15}, t h e n \frac{x}{3} = \frac{6}{15}$

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State True or False. tan 47∘cot 43∘=1

The correct option is A TrueWe know that cot(90∘−θ)=tanθ Therefore, cot (90−47)∘=tan 47∘ cot 43∘=tan 47∘ tan 47∘cot 43∘=1 Hence, True.

State True or False.

$\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1$

The correct option is A True
We know that $c o t (90^{\circ} - θ) = t a n θ$

Therefore, $c o t (90 - 47)^{\circ} = t a n 47^{\circ}$
$c o t 43^{\circ} = t a n 47^{\circ}$
$\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1$
Hence, True.