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Integrate of sec(x)
05262018 09:22 PM
Hi, I'm learning how to use the HP Prime, and I've noticed that when I integrate Sec(x) it gives me a long answer instead of LnIsecx+tgxI, also when I calculate a determinate including a SEC(x) it gives me a long result . is there a way to make it appear Sec in the results?
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Accepted Solutions
05272018 11:36 AM
hello,
I do not know an easy way to accomplish this conversion.
What I can do is this:
By multiplying both the numerator and the denominator of the trigoniometric expression by (1+sin(x)), the numerator will become (1+sin(x))^2 and the denominator (cos(x))^2
By taking its root and replacing the 1/2 in front by 1, the trigoniometric expression will become
(1+sin(x))/cos(x)=sec(x)+tan(x), which is the simple result.
05272018 11:36 AM
hello,
I do not know an easy way to accomplish this conversion.
What I can do is this:
By multiplying both the numerator and the denominator of the trigoniometric expression by (1+sin(x)), the numerator will become (1+sin(x))^2 and the denominator (cos(x))^2
By taking its root and replacing the 1/2 in front by 1, the trigoniometric expression will become
(1+sin(x))/cos(x)=sec(x)+tan(x), which is the simple result.

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