1.

Given, 15cotA =8 find all trigonometric ratios of angles A​

Answer»

Answer :-

  • 15/17 , 8/17 , 15/8 , 17/15 , 17/8

Given :-

  • 15cotA = 8

To Find :-

  • All trigonometric ratios of ANGLE A.

Solution :-

[ REFER TO THE ATTACHMENT ]

→ 15cotA = 8

→ cotA = 8/15 = b/p = BC/AB

From Pythagoras theorem

⇒ AC² = AB² + BC²

⇒ AC² = (15)² + (8)²

⇒ AC² = 225 + 64

⇒ AC² = 289

⇒ AC = √289

⇒ AC = 17

Now

  • sinA = p/h = AB/AC = 15/17
  • cosA = b/h = BC/AC = 8/17
  • tanA = p/b = AB/BC = 15/8
  • cosecA = h/p =AC/AB = 17/15
  • secA = h/b = AC/BC = 17/8

Where

  • p = perpendicular
  • b = base
  • h = hypotenuse


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