Question

secx*cscx= 2secx how can I find the solution?

Answer 1

essentially:

ab = 2a

Answer 2

ab = 2a

ab-2a = 0

a (b-2) = 0

Answer 3

\[\sec x \csc x -2\sec x=0\]
\[\sec x \left( \csc x-2 \right)=0\]
now you can solve it.

Answer 4

or, since secx is never zero

ab = 2a

b = 2

1/b = 1/2

Answer 5

Alrighty,I have one solution but i don't know if there is others

Answer 6

well, pi/6 and 5pi/6 seem to work for me

Answer 7

\[1/\cos(x)•1/\sin(x)=2/\cos(x)\]
Multiplying by cos(x),
\[\cos(x)•1/\cos(x)•1/\sin(x)=\cos(x)•2•1/\cos(x)\]
\[1/\sin(x)=2\]
Multiplying by sin(x),
\[\sin(x)•1/\sin(x)=2•\sin(x)\]
\[1=2\sin(x)\]
\[\sin(x)=1/2\]
\[π/6+2πn, 5\pi/6+2πn\] (or, if you need it in degrees, 30º+n360º and 150º+n360º)

Answer 8

would 11pi/6 be one too?

Answer 9

no

Answer 10

oh okay

Answer 11

but essentially, its all turns that get you into pi/6 and 5pi/6

Answer 12

1,13,25,... +12 each time
5,17,29,... +12 each time

11 aint there

Answer 13

because sin x is positive ,it has to be in first and second quadrant only.