Answer:
see explanation
Step-by-step explanation:
Using the identity
tan²x = sec²x - 1
Consider left side
sec²x + tan²x
= sec²x + sec²x - 1
= 2sec²x - 1
= right side , thus verified
Answer:
A. wind blowing from the south
D. Low air pressure
C. High humidity
Step-by-step explanation:
High humidity can cause the clouds to shower. When the humidity is reached to 100 percent the rain starts. For the raining system the air pressure should be low. The low air pressure often indicates the thunderstorm. Cloud are ready filled with water and when the air pressure is lowered the rain starts.
For multiplying radical expressions, we are first to list down the given.
f(x) = (x + 3/x)^(1/2), and
g(x) = (x + 3/2x)^(1/2)
We take a look at first the values of the radicands, these are the numbers inside the radical signs. Since, both of the radicands are raised to exponent 1/2, it is easy to say that we just have to multiply them and raise the product to the exponent 1/2 as well. That is,
(f·g)(x) = ((x + 3/x)(x + 3/2x))^(1/2)
Simplifying,
(f·g)(x) = ((x² + 3/2 + 3 + 9/2x²)^(1/2))
Further simplification will lead us to the final answer of,
<em>(f·g)(x) = (x² + 9/2 + 9/2x²)^(1/2)</em>
