Question

please type answer fast​

Answer 1

tan A =4/3=p/b

here, p=4 and b=3

so, h= √4²+3² = 5

Hence, cos A = b/h = 3/5.

Hope it helps

Answer 2

Question :

If tanA = 4/3, find the value of cosA.

Solution :

We know ,

${\boxed{\bold{tanA=\dfrac{Height}{Base}}}}$

Here,

tanA = 4/3

• Height = 4
• Base = 3

Now find hypotenuse by using ' Pythagoras Theorem' .

Hypotenuse ² = Height ² + Base²

→ Hypotenuse ² = 4² + 3²

→ Hypotenuse ² = 16+9

→ Hypotenuse ² = 25

→ Hypotenuse=√25

→ Hypotenuse = 5

We know,

${\boxed{\bold{tanA=\dfrac{Base}{Hypotenuse}}}}$

Then,

cosA = 3/5

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Some identities related to trigonometry :-

★ sin²A + cos²A = 1

★ 1 + tan²A = sec²A

★ 1 + cot²A = cosec²A

★ cos²A - sin²A = cos2A