Math, asked by pankhudiv, 2 months ago

I need the solution to this urgently please.​

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Answered by Anonymous
388

As We know that cos A = ⅗.

→ cos A = B/H

→ Cos A = ⅗

By Using Pythagoras theorem, we can find the Perpendicular of the traingle using h² = b² + p² Formula.

→ 5² = 3² + p²

→ 25 = 9 + p²

→ 25-9 = p²

→ 16 = p²

→ √{16} = p

→ p = 4

  • Base = 3, Hypotenuse = 5, Perpendicular = 4

→ (5 sin A+3 sec A-3 tan A)/(4 cot A+4 cosec A + 5 cos A)

→ (5 × 4/3+3 × 5/3 - 3 × 4/3)/(4 × 3/4 + 4 × 5/4 + 5 × 3/5)

→ (4 + 5 - 4)/(3 + 5 + 3)

5/11

Hence,

The value of (5 sin A+3 sec A-3 tan A)/(4 cot A+4 cosec A + 5 cos A) is 5/11.

Answered by ItsUniqueGirl
47

Answer:

As We know that cos A = ⅗.

→ cos A = B/H

→ Cos A = ⅗

By Using Pythagoras theorem, we can find the Perpendicular of the traingle using h² = b² + p² Formula.

→ 5² = 3² + p²

→ 25 = 9 + p²

→ 25-9 = p²

→ 16 = p²

→ √{16} = p

→ p = 4

Base = 3, Hypotenuse = 5, Perpendicular = 4

→ (5 sin A+3 sec A-3 tan A)/(4 cot A+4 cosec A + 5 cos A)

→ (5 × 4/3+3 × 5/3 - 3 × 4/3)/(4 × 3/4 + 4 × 5/4 + 5 × 3/5)

→ (4 + 5 - 4)/(3 + 5 + 3)

→ 5/11

Hence,

The value of (5 sin A+3 sec A-3 tan A)/(4 cot A+4 cosec A + 5 cos A) is 5/11.

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