Question

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

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Answer 1

Answer:

CotA=8/15

TanA=15/8

Step-by-step explanation:

Answer 2

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