Inverse trig (1 Viewer)

Hipeople

Member
Joined
Mar 29, 2023
Messages
44
Gender
Female
HSC
2025
Hi, can someone show me how to do c). The answer is π/2 but I just don’t see how I can prove it.
 

Attachments

cossine

Well-Known Member
Joined
Jul 24, 2020
Messages
614
Gender
Male
HSC
2017
Hi, can someone show me how to do c). The answer is π/2 but I just don’t see how I can prove it.
You can draw a triangle. For completeness draw two triangles one in the first quadrant and second quadrant.

Then make use of the period to generalise your result.
 

d.goomeister

Member
Joined
Jan 10, 2024
Messages
16
Location
your moms walls
Gender
Undisclosed
HSC
2025
Hi you might not need help anymore but:
Let A = arctanx
Therefore tanA = x
Using the identity Cot(90 - x) = tanx (will use pi/2 = 90 for easier visibility)
x = cot(90-A)
arccotx = 90-A
sub arctanx = A
arccotx = 90-arctanx
therefore arctanx+arccotx = 90 (pi/2)
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top