Given tan θ = 2, use trigonometric identities to find the exact value of csc ( pi/2- θ)?
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Given tan θ = 2, use trigonometric identities to find the exact value of csc ( pi/2- θ)
Update:THANK YOU GUYS FOR YOUR QUICK RESPONSE AND HELP IT WAS THE RIGHT ANSWER ON THE ONLINE QUIZ BUT I STILL FAILED WITH A 65% CAUSE I FOCUSED SO MUCH ON THAT ANSWER THAT BY THE TIME I GOT THE ANSWER (VIA YOU) I HAD 5 MINUTES LEFT AND I HAD 5 QUESTIONS LEFT AND I KNEW THE ANSWERS BUT I DIDN'T HAVE TIME TO CALCULATE THEM ALL ) -:
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Draw a right triangle. Label one of the acute angles θ, and label the sides such that tan θ = 2.
opp = 2, adj = 1 means hyp = √5
cos θ = 1/√5 --> sec θ = √5 ---> csc (π/2- θ) = √5
Function of an angle = cofunction of its complement.
tan A = 2 then
csc (pi/2 -- A) = sec A = SQRT[1 + tan^2 A] = SQRT[1 + 2^2] = SQRT(5) ANSWER