We have that
<span>tan(theta)sin(theta)+cos(theta)=sec(theta)
</span><span>[sin(theta)/cos(theta)] sin(theta)+cos(theta)=sec(theta)
</span>[sin²<span>(theta)/cos(theta)]+cos(theta)=sec(theta)
</span><span>the next step in this proof
is </span>write cos(theta)=cos²<span>(theta)/cos(theta) to find a common denominator
so
</span>[sin²(theta)/cos(theta)]+[cos²(theta)/cos(theta)]=sec(theta)<span>
</span>{[sin²(theta)+cos²(theta)]/cos(theta)}=sec(theta)<span>
remember that
</span>sin²(theta)+cos²(theta)=1
{[sin²(theta)+cos²(theta)]/cos(theta)}------------> 1/cos(theta)
and
1/cos(theta)=sec(theta)-------------> is ok
the answer is the option <span>B.)
He should write cos(theta)=cos^2(theta)/cos(theta) to find a common denominator.</span>
Notice the picture below
no matter what value "y" may have, "x" will always be 1
Answer:
We conclude that expected value of this game is -0.865$.
Step-by-step explanation:
We know that in a lottery game, a player picks six numbers from 1 to 27.
We know that

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.
He can win 40,000 dollars.
We calculate:

We conclude that expected value of this game is -0.865$.
Answer:
503,049
Step-by-step explanation:
250,000 × 1.06^12 is the formula.
You take the percentage which is 6% and you add 1 to it.
So, you get 1.06
Then you take the 1.06 and raise it to the number of years which is 12.
1.06^12
Then you multiply that number to the base number which is 250,000 and get 503,049.
Hope this helps!
EXPLANATION:
The decimal number that is greater is the one with the largest integer part. If they have the same integer part, the first different decimal place is compared.
Now we are going to order the numbers of the exercise,
The correct order is:
-90.98
-90.9
-90.089
-90
-89.89