Question

If sin A +cosec A=2,find the value of sin^6 A +cosec^6A.​

Answer 1

Answer:

answer is 2 because if we square the first equation we get sin^2 A +cosec^2 A =2

Step-by-step explanation:

so for even power we get answer as 2

Answer 2

Step-by-step explanation:

sinA + cosecA = 2

→sinA + 1 = 2 (cosecA=1/sinA)

sinA

→sin^2A + 1=2sinA (Taking LCM and doing cross multiply )

→sin^2A–2sinA + 1=0

→sin^2A–sinA–sinA + 1=0(By factorisation

method)

→sinA(sinA–1) –1(sinA–1)=0

→(sinA–1)(sinA–1)= 0

→(sinA–1)^2=0

→sinA–1=0

→sinA=1

→A= 90°

Now we have to find the value of

sinA^6 + cosecA^6

=sin90°^6+cosec90°^6

=1^6+1^6(sin90°=1 and cosec90°=1)

=1+1

=2

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