Tan-30- 2-sin-30- cos-30-21-211-4

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

Evaluate the following

(i) sin60° cos30° + sin30° cos 60°

(ii) 2tan²45° + cos²30° − sin²60°

(iii)

(iv)

(v)

Q. Solve:

\frac{5 {cos}^{2} 60^{\circ} + 4 {sec}^{2} 30^{\circ} - {tan}^{2} 45^{\circ}}{{sin}^{2} 30^{\circ} + {cos}^{2} 30^{\circ}}

Q. Evaluate:

\frac{5 {sin}^{2} 30^{\circ} + {cos}^{2} 45^{\circ} - 4 {tan}^{2} 30^{\circ}}{2 sin 30^{\circ} cos 30^{\circ} + tan 45^{\circ}}

find the value of : 5sin² + cos² 45`- 4tan² 30`/ 2sin30 cos30 + tan45

Q. (5cos²60+4sec²30-tan²45)÷(sin²30sin²30+cos²30)

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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

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