Question

if sec 5A = cosec (a + 30) find the value

Answer 1

Answer:

Value of A = 10°

Step-by-step explanation:

$Sec 5A = cosec (A + 30\degree)$

$\implies cosec(90\degree - 5A) = cosec (A + 30\degree)$

$\implies 90\degree - 5A = A + 30\degree$

$\implies -5A - A = 30\degree - 90\degree$

$\implies -6A = -60\degree$

$\implies A = \frac{-60\degree}{-6}$

$\implies A = 10\degree$

Therefore,

Value of A = 10°

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Answer 2

Answer:

Step-by-step explanation:

if sec 5 A = cosec(a+30) find the value of A

then

sec5A=cosec(a+30)

cosec(90-5A)=cosec(a+30)

90-5A=30+A

90-30=A+5a

60=6A

60/6=A

10=A

HENCE THE VALUE OF A =10