Evaluate tan 7.5

1.438244794498223

---> whenever you need a scientific calculator, check out the one on the ecalc website.

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.

tan 15º should have ended up as

(√3 - 1)/(√3 + 1)

sorry about the typo

Woah. I was totally wrong lol. I guess the my summer out of algebra II has been showing xD

To evaluate the tangent of 7.5 degrees, you can use a scientific calculator or use trigonometric identities.

If you have a scientific calculator:
1. Simply enter "7.5" on your calculator.
2. Press the "tan" or "tanθ" button.
3. The calculator will give you the value of tan 7.5.

If you don't have a calculator, you can use the following trigonometric identity:
tan(x) = sin(x) / cos(x)

1. Convert 7.5 degrees to radians by multiplying it by π/180. (since trigonometric functions typically take radians as input)
7.5 * π/180 = 0.1309 radians (approximately)

2. Calculate sin(0.1309) and cos(0.1309) using a scientific calculator or table of trigonometric values.

3. Divide sin(0.1309) by cos(0.1309) to find the tangent:
tan(0.1309 radians) = sin(0.1309) / cos(0.1309)

Note: Make sure to use the same number of significant figures as your calculator or the table you are using.

That's how you can evaluate the tangent of 7.5 degrees using a calculator or trigonometric identities.