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:
26. D) $252
27. A) -6.7 + 6.8
Step-by-step explanation:
26. 400 * 0.3 = 120
400 - 120 = 280
280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)
280 - 28 = 252
27. -4.5 + 4.4 = -0.1
- 6.7 + 6.8 = 0.1
-0.1 + 0.1 = 0
Answer:
it's the first one because it is split as the paragraph said it should
