Match equivalent trigonometric ratios.

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cosθ

sinθ

cotθ

secθ

cscθ

tanθ

csc (90° - θ)
sin (90° - θ)
tan (90° - θ)
cos (90° - θ)
cot (90° - θ)
sec (90° - θ)

Hello from MrBillDoesMath!

csc (90° – x) = sec (x )

sin (90° – x) = cos (x )

tan (90° – x) = cot (x)

cos (90° – x) = sin (x )

cot (90° – x) = tan (x )

sec (90° – x) = csc (x)  

Thank you,

MrB    

Answer is      (1/2)y - (1/2)x======x = log 3 and y = log 21note that 21 factors into 3 and 7 so    y = log 21    y = log(7  · 3)use log law that says      y = log(7) + log(3)and since x = log(3):     y = log(7) + xsolve for log(7) to get    log 7 = y - xnow focusing on    use log law  with      since log 7 = y - x