Question

If Sin x +cosec x=2 then the value
of Sin 10x+ cosec10x is equal to
(1). 10 (2). 20 (3). 2 (4). 100



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Answer 1

Answer:

sinx+cosecx=2

⇒sinx+

sinx

1

=2

⇒sin

2

x+1=2sinx

⇒sin

2

x−2sinx+1=0

⇒(sinx−1)

2

=0

⇒sinx=1

cosecx=1

sin

10

x+cosec

10

x=2

(3). 2 is the correct answer MATE

Answer 2

Answer:

sinx+cosecx=2

⇒sinx+

sinx

1

=2

⇒sin

2

x+1=2sinx

⇒sin

2

x−2sinx+1=0

⇒(sinx−1)

2

=0

⇒sinx=1

cosecx=1

sin

10

x+cosec

10

x=2

Step-by-step explanation:

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