12'Given that tan x =sin x + cos x?î, what is the value of(WAEC]
1 answer:
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Answer:
Step-by-step explanation:
We have:
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
Zero Product Property:
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:
And we're done!
The subtraction theorem states that for all real numbers, 
and 
, 
.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.