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>
Answer:
Step-by-step explanation:
P = 3,000
r = 5% = 0.05
t = 9 years
Amount after 9 years is
A = P (1+ r)^t
A = 3,000(1+ 0.05)^9 = 3,000 * 1.05^9 = 4653.984648 ≈ $4,653.98
The balance after 9 years, rounded to the nearest cent is
$4,653 and 98 cents
To solve for x, first, we add 3 to the given equation:
Dividing by 2, we get:
Therefore:
Finally, subtracting 5 we get:
Answer:
Answer:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
