Question

if tan theta = 1, find the value of 2 sin theta x cos theta

Answer 1

Find the value of θ

tan θ = 1

See the attachment :

= > tan θ = tan 45°

= > θ = 45°

To find

2 sin θ cos θ

See attachment

sin 45° = 1 / √2

cos 45° = 1 / √2

Hence : 2 sin θ cos θ

= > 2 sin 45° × cos 45°

= > 2 × 1 / √2 × 1 / √2

= > 2 × 1 / 2

= > 1

ANSWER :

The value will be 1 .

Answer 2

Heya!!

Here's your answer.....


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Given , tanΘ = 1

To find , 2 sinΘ.cosΘ

Salutation ,

tanΘ = 1

tanΘ = 1

opposite / adjacent = 1

Now let , opposite = k and adjacent = k

Then hypotenuse = √ k² + k² = √ 2k² = k √2

Now ,

sinΘ = opposite / hypotenuse = k / k√2 = 1 / √2

cosΘ = adjacent / hypotenuse = k / k√2 = 1 / √2

Therefore ,

2 sinΘ.cosΘ

= 2 × 1 / √2 × 1 / √2

= 2 × 1 / 2

= 1.

•°• Required answer is 1


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Thanks!