Question

assuming an angle in quadrant I , evaluate csc(cot^-1 4/3)
a) 4/5
b)5/4
c)5/3
d)3/5

Answer 1

@ajprincess could you please please help me!?

Answer 2

They want \[
\csc(\cot^{-1}(4/3))
\]?

Answer 3

Remember that \(\cot(\alpha)=\cos(\alpha)/\sin(\alpha)\)

Answer 4

yes thats what they're asking

Answer 5

how will that identity help?

Answer 6

Because this:

Answer 7

ok

Answer 8

We can see that 4 corresponds to sin, and 3 corresponds to cos.

Answer 9

So first you need to find the hypotenuse.

Answer 10

Remember that cos is adjacent over hypotenuse. csc is just the reciprocal of cos, ie hypotenuse over adjacent. We just need the hypotenuse.

Answer 11

5

Answer 12

@wio

Answer 13

is it 5/3 @wio ?

Answer 14

Yes.

Answer 15

cot^-1=4/3
tan x=4/3
hypotnuse5
sinx=4/5
cosec=5/4

Answer 16

so its 5/4?

Answer 17

yes

Answer 18

hope it helps