Please help... Verify the identities of these trig equations -tan^2x +sec^2x = 1
1 answer:
The first step in simplifying is this one (since tangent is sin/cos, and sec and is the same as 1/cos):
The next step is this:
Now the next step in this identity involves knowing another identity, which is this one (a Pythagorean identity, actually);
and 
So let's sub that in, like this:
which it does, right?
The next step is this:
Now the next step in this identity involves knowing another identity, which is this one (a Pythagorean identity, actually);
So let's sub that in, like this:
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If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:
or
If the first one is what you intended, then
and it follows that
2<em>k</em> + 8 = 3 ==> 2<em>k</em> = -5 ==> <em>k</em> = -5/2
If you meant the second one, then
which would give
<em>k</em> + 9 = 3 ==> <em>k</em> = -6
And for all I know, you might have meant some other alternative... When you can, you should include a picture of your problem.