Question

what is the value of sinA,cosecA
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Answer 1

Step-by-step explanation:

If sinA+cosecA=2, then what is the value of sin^8 A +cosec^16 A?

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Okay let's see what we can do.

First, let's note that csc(a)=1sin(a)

Then let's let sin(a)=x

So what we have now is:

x+1x=2

I think we can solve for x…

x2+1x=2

x2+1=2x

x2−2x+1=0

Ooh we can factor it!

(x−1)2=0

So… sin(a)=1

And csc(a)=1sin(a)=11=1

Therefore,

sin8(a)+csc16(a)=18+116=1+1=2

Fantastic!