Question

Establish identity: what is sec(pheta)sin(pheta)/tan(pheta)-1?

Answer 1

sec=1/cos
tan=sin/cos

Answer 2

Is this the expression you posted? See attachment. @jkfussball

Answer 3

the answer is zero b/c secsin becomes tan. so tan-tan=0.

Answer 4

@jkfussball What about the 1 in the expression?

Answer 5

that becomes tan/tan

Answer 6

do you know what cos5pie/12 is using the difference identity?

Answer 7

Tan (theta) = sin(theta)/cos(theta)
sec(theta)sin(theta)/tan(theta)-1
sec(theta)sin(theta)/[sin(theta)/cos(theta)]-1
cancel common terms
sec(theta)/[1/cos(theta)]-1
1/cos(theta)=sec(theta)
sec(theta)/sec(theta)-1
1-1 =0
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