Question

If cos A=0.8, Find the value of 5sinA-8tanA

Answer 1

$\large{\boxed{\bf{Answer}}}$

- 3

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Given :-

• cosA = 0.8

To Find :-

• Value of 5sinA - 8tanA

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$\large{\boxed{\bf{Solution}}}$

cosA = b/h = 0.8 = 8/10 = 4/5

Here,

• Base = 4

• Hypotenuse = 5

• Perpendicular = ?

★ H² = B² + P²

=> (5)² = (4)² + (P)²

=> 25 = 16 + P²

=> 25 - 16 = P²

=> P² = 9

=> P = √9

=> P = √(3 × 3)

=> P = 3

★ Hence, perpendicular = 3

• sinA = p/h = 3/5

• tanA = p/b = 3/4

★ 5sinA - 8tanA

=> 5(3/5) - 8(3/4)

=> 3 - 6

=> - 3

Hence, the value of 5sinA - 8tanA is - 3.

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Answer 2

Answer:

Answer

- 3

__________________________

Given :-

• cosA = 0.8

To Find :-

• Value of 5sinA - 8tanA

__________________________

Solution

cosA = b/h = 0.8 = 8/10 = 4/5

Here,

• Base = 4

• Hypotenuse = 5

• Perpendicular = ?

★ H² = B² + P²

=> (5)² = (4)² + (P)²

=> 25 = 16 + P²

=> 25 - 16 = P²

=> P² = 9

=> P = √9

=> P = √(3 × 3)

=> P = 3

★ Hence, perpendicular = 3

• sinA = p/h = 3/5

• tanA = p/b = 3/4

★ 5sinA - 8tanA

=> 5(3/5) - 8(3/4)

=> 3 - 6

=> - 3

Hence, the value of 5sinA - 8tanA is - 3.

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