find the exact values precalculus

Question

If , then find exact values for the following:

 equals  =

  equals   =

 equals   =

 equals   =

Answer 1

θ=−7π/4 is identical to θ=π/4

Use your special right angled triangle with angles π/4 π/4 π/2 .. and sides: legs 1, 1, hypotenuse = sqrt2

sec θ= 1/cosθ = hyp/adj (pull the lengths of hyp and adj from special triangle) = sqrt2/1 = sqrt 2

csc θ= 1/sinθ = hyp/opp (pull the lengths of hyp and opp from special triangle) = sqrt2/1 = sqrt 2

tan θ= opp/adj = (pull the lengths of opp and adj from special triangle) = 1/1 = 1

cot θ= 1/tan = 1/1 = 1

HINTS: remember SOH CAH TOA opp =O= opposite adj=A=adjacent hyp=H=hypotenuse

Hope that helps!

Flora