Question

If sec Q = x+1/4x find secQ+tanQ = 2x or 1/2x?​

Answer 1

look at the pic｡◕‿◕｡

there is the answer of your question

hope it's correct and helps to you.....

Answer 2

Answer:

secA=x+1/4x

sec?A=(x+1/4x)2 =x?+2.x.1/4x+1/16x?

=x?+1/2+1/16x?

Now, sec?A-tan?A=1 or, tan?A=sec’A-1

or, tan?A=x2+1/2+1/16x2-1 or, tan?A=x2+1/16x2-1/2

or, tanA=x2-2.x.1/4x+1/16x2

or, tan?A=(x-1/4x)

or, tanA=+-(x-1/4x)

*, either, secA+tanA

=x+1/4x+x-1/4x [when tanA=x+1/4x]

=2x

or, secA+tanA

=x+1/4x-x+1/4x [when tanA=-(x+1/4x)]

=1/4x+1/4x

=2/4x

ʜᴇʟᴘғᴜʟ ғᴏʀ ʏᴏᴜ✨

=1/2x (Proved)