Asked by Anonymous
Evaluate tan 7.5
Answers
Answered by
Emily
1.438244794498223
---> whenever you need a scientific calculator, check out the one on the ecalc website.
---> whenever you need a scientific calculator, check out the one on the ecalc website.
Answered by
Reiny
if you need tan 7.5 degrees you would get
.1316525
if you want tan 7.5 radians that would be
2.706
if the question asked for the "exact" value of tan 7.5º
you would first find tan 15º by using
tan 15º = tan(45º - 30º)
= (tan45 - tan30)/(1 + tan45tan30)
= (√3 - 1)?)√3 + 1)
then use
tan 15 = 2tan7.5/(1 - tan^2 7.5)
let x = tan 7.5º
then solve the quadratic
(√3 - 1)?)√3 + 1) = 2x/(1 - x^2)
gets a bit messy, but hang in there.
check your answer by using your calculator.
.1316525
if you want tan 7.5 radians that would be
2.706
if the question asked for the "exact" value of tan 7.5º
you would first find tan 15º by using
tan 15º = tan(45º - 30º)
= (tan45 - tan30)/(1 + tan45tan30)
= (√3 - 1)?)√3 + 1)
then use
tan 15 = 2tan7.5/(1 - tan^2 7.5)
let x = tan 7.5º
then solve the quadratic
(√3 - 1)?)√3 + 1) = 2x/(1 - x^2)
gets a bit messy, but hang in there.
check your answer by using your calculator.
Answered by
Reiny
tan 15º should have ended up as
(√3 - 1)/(√3 + 1)
sorry about the typo
(√3 - 1)/(√3 + 1)
sorry about the typo
Answered by
Emily
Woah. I was totally wrong lol. I guess the my summer out of algebra II has been showing xD