Thread: Weird Trig Identity

Establish each trig identity.

(1) In|tan(x)| = In|sin(x)| - In|cos(x)|

(2) In|sec(x) + tan(x)| + In|sec(x) - tan(x)| = 0

Also: Is In the symbol for natural log?

it's ln ... with a lower case L, no upper case I.

I think you've seen these properties of logs on this forum before, correct?

for (1) ... remember ln(a) - ln(b) = ln(a/b) ?

for (2) ... remember ln(a) + ln(b) = ln(ab) ?

Yes but it's not "In" it's "ln", the first character is a lowercase L not an uppercase i.

Originally Posted by magentarita

Establish each trig identity.

(1) In|tan(x)| = In|sin(x)| - In|cos(x)|

(2) In|sec(x) + tan(x)| + In|sec(x) - tan(x)| = 0

Also: Is In the symbol for natural log?

Why didn't you apply what you learned from logarithms in this forum here?

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You should know that

Thus:

I thank you all, especially Chop Suey.