Tan 30- 2 -sin 30-cos 30-

The correct option is B 1/2We have to find the value of nbsp; tan 30°× 2× sin 30°× cos 30°. We know that, tan 30° = 1/√(3) 2× sin 30°=2×1/2 = 1 cos 30° ...

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Standard X

Mathematics

Trigonometric Table

tan 30∘× 2 ×s...

Question

$t a n 30 ° \times 2 \times s i n 30 ° \times c o s 30 ° =$

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\frac{1}{2}

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\frac{1}{4}

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Solution

The correct option is B $\frac{1}{2}$
We have to find the value of
$t a n 30 ° \times 2 \times s i n 30 ° \times c o s 30 ° .$

$W e k n o w t h a t, t a n 30 ° = \frac{1}{\sqrt{3}} 2 \times s i n 30 ° = 2 \times \frac{1}{2} = 1 c o s 30 ° = \frac{\sqrt{3}}{2}$

$T h u s, t a n 30 ° \times 2 \times s i n 30 ° \times c o s 30 ° = \frac{1}{\sqrt{3}} \times 1 \times \frac{\sqrt{3}}{2} = \frac{1}{2}$

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Similar questions

Q. Verify the following equalities.

\frac{sec 30^{\circ} + tan 30^{\circ}}{sec 30^{\circ} - tan 30^{\circ}} = \frac{1 + sin 30^{\circ}}{1 - sin 30^{\circ}}

Find the value of

$\frac{1 + sin 30^{\circ}}{cos 30^{\circ}} + \frac{cos 30^{\circ}}{1 + sin 30^{\circ}}$

Q. Verify each of the following:
(i) sin 60° cos 30° − cos 60° sin 30° = sin 30°
(ii) cos 60° cos 30° + sin 60° sin 30° = cos 30°
(iii) 2 sin 30° cos 30° = sin 60°
(iv) 2 sin 45° cos 45° = sin 90°

Find the value of
$\frac{1 + s i n 30^{\circ}}{c o s 30^{\circ}} + \frac{c o s 30^{\circ}}{1 + s i n 30^{\circ}} .$

Q. Find the value of the following

(i) sin 60^{\circ} cos 30^{\circ} + cos 60^{\circ} sin 30^{\circ}

(i i) cos 30^{\circ} cos 60^{\circ} - sin 30^{\circ} sin 60^{\circ}

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tan 30°×2× sin 30°×cos 30° =

The correct option is B 12We have to find the value of tan 30°×2× sin 30°×cos 30°. We know that, tan 30°=1√32×sin 30°=2×12=1cos 30°=√32 Thus, tan 30°×2× sin 30°×cos 30°=1√3×1×√32=12

$t a n 30 ° \times 2 \times s i n 30 ° \times c o s 30 ° =$