Is C the right answer??

Find all solutions in the interval [0, 2π).

tan x + sec x = 1

A x = pi/4
B x = 0
C x = 5pi/4
D No solution

Question

Is C the right answer??

Find all solutions in the interval [0, 2π). 

tan x + sec x = 1

 A  x = pi/4
B  x = 0
C  x = 5pi/4
D  No solution

anonymous · Answer

@hartnn help please

tkhunny · Answer

Why do you think C is or is not correct?  Show your work.

anonymous · Answer

Tangent by definiton is 
secant by definition is 1/cos x

you have sin x/cosx +1/cos x = 1

If you multiply everything by cos x, you get sin x +1 = cos x

Now I can see the answer from this equality right away, but I will leave it for you to figure it out.

anonymous · Answer

I dont understand??

anonymous · Answer

Which part did you not understand?

anonymous · Answer

how you see the answer from that equality

anonymous · Answer

Think about the maximum value that a sine and a cosine can aquire. Can cosine be more than 1?

anonymous · Answer

no! range of sine and cosine is [-1,1]

anonymous · Answer

is it x = 0

anonymous · Answer

Yes, You are correct, it is 0 in this case.
The fully correct answer would be 2*pi*n, where n is an integer, but in this case, only 0 fits to your interval.

anonymous · Answer

thank you very much!