Question

ef sin A=3/4, calculate cos A and tan A​

Answer 1

Answer:

if ki spelling galat hai ef nhi if hai wo

Answer 2

Solution

$\huge{\underline{\mathfrak{\orange{\bf{Given}}}}} </p><p>$

sin A = 3/4

$\Large{\underline{\mathfrak{\orange{\bf{Find}}}}} </p><p>$

Value of cos A

Value of tan A

$</p><p>\Large{\underline{\underline{\mathfrak{\red{\bf{Explanation}}}}}}$

Using Some Formula

$\star\tt{\blue{\:\sin\:A\:=\dfrac{(perpendicular)}{(Hypotenuse)}}}⋆$

$\star\tt{\pink{\:\cos\:A\:=\:\dfrac{(Base)}{(Hypotenuse)}}}⋆$

$\star\tt{\blue{\:\tan\:A\:=\:\dfrac{(Perpendicular)}{(Base)}}}⋆$

$\star\tt{\pink{\:(Base)^2\:=\:(Hypotenuse)^2-(Perpendicular)^2}}$

Assume that, Here a right ∆PQR,

Where,

PQ = Perpendicular = 3

QR = Base

RP = Hypotenuse = 4

Now, First calculate Base (QR)

So,

➥ (QR)² = (RP)² - (PQ)²

➥ QR² = 4² - 3²

➥ QR² = 16 - 9

➥ QR² = 7

➥ QR = √7

Since, Base (QR) be √7 .

Now, Calculate Cos A ,

➥ cos A = Base/Hypotenuse

Or,

➥ cos A = QR/RP

Keep Value of Base & Hypotenuse

➥ cos A = √7/4

Now, Calculate tan A

➥ tan A = Perpendicular/Base

➥ tan A = PQ/QR

Keep Value of Perpendicular & base

➥ tan A = 3/√7

$\Large{\underline{\underline{\mathfrak{\red{\bf{Hence}}}}}} </p><p>$

Value of cos A = √7/4

Value of tan A = 3/√7

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