Question

If √3sinΦ=cosΦ,find value of sinΦtanΦ(1+cosΦ)/sinΦ+cosΦ

Answer 1

Answer: put Theeta =30 degree and get ans

Step-by-step explanation:

Answer 2

Hi there,

√3 sinΦ=cosΦ  (given)

⇒sinΦ÷cosΦ =1/√3

⇒tanΦ=1/√3      {sinΦ÷cosΦ=tanΦ}

⇒Ф=30°

Now,sinΦtanΦ(1+cosΦ)/sinΦ+cosΦ

⇒sin30° tan30° (1+cos30°) / sin30°+ cos30°

⇒1/2 × 1/√3 (1+√3/2)÷ 1/2 + √3/2

⇒1/2 × 1/√3 x 2+√3/2÷ 1/2 + √3/2

⇒ 2+√3 /2√3+ √3/2

⇒ 5+√3 /2√3

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