Select the correct answer. Simplify the expression (4x - 3)(x + 5).
2 answers:
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- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
so 
and
so 
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
and
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
Since the equation is given in vertex form, you can easily find the vertex.
The vertex form of the equation of a parabola is
. The vertex is (h, k).
In your question, the vertex is (-3, 6).
The vertex form of the equation of a parabola is
In your question, the vertex is (-3, 6).