arcsec 4 = arccos 1/4 = 75.5°
and so on
What is the arcsecant of 4 and 8?
6 answers
but 1/4 isn't in the unit circle
so what? trig functions are all about ratios.
Draw a triangle with sides 1,√15 and hypotenuse 4
Then the angle whose secant is 4/1 is the same angle whose cosine is 1/4
Yeah, yeah, you can scale everything so that the hypotenuse is 1, making it lie on the unit circle, but the ratios do not change. The sides are now 1/4, √15/4, and the hypotenuse is 1.
So, the secant is now 1 / (1/4) = 4 as before.
Draw a triangle with sides 1,√15 and hypotenuse 4
Then the angle whose secant is 4/1 is the same angle whose cosine is 1/4
Yeah, yeah, you can scale everything so that the hypotenuse is 1, making it lie on the unit circle, but the ratios do not change. The sides are now 1/4, √15/4, and the hypotenuse is 1.
So, the secant is now 1 / (1/4) = 4 as before.
where does √15 come from?
the Pythagorean Theorem.
You clearly did not draw the required right triangle. Don't make me do everything!
You clearly did not draw the required right triangle. Don't make me do everything!
cos(4) is same asarccos(1/4). In which 1 is the adjecent and 4 is the hypatanu. the √(4^2-1^2)= √15
1 answer