Question

In a triangle ABC, right angled at A, if tan C = root3, find the value of sin B cos C + cos B sin C. get ready for taking 1 brainliest badge from me !!
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Answer 1

Answer:

1

Step-by-step explanation:

Since,tan c=√3

therefore,In triangle ABC

tan c=AB/AC

let x be the hypotenuse of triangle ABC,

x²=(√3)²+1²

x²=4

x=2

hence,sin b =1/2

cos b =√3/2

sin c =√3/2

cos c =1/2

now, sin b cos c+cos b sin c

1/2×1/2+√3/2+√3/2

1/4+3/4

4/4=1

Hope it helps

Answer 2

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