First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
Answer:
V=16
Step-by-step explanation:
We are given that an inverse variation

We have to find the value of V when p=1/2
To find the value of V we will substitute the value of p
Substitute the value of p
Then, we get


Using multiplication property of equality

Using multiplication property of equality

Hence, the value of V=16
Answer:
see explanation
Step-by-step explanation:
To prove that BC ≅ AD, that is that BC = AD
You would need to prove the lengths are the same.
7 + (0-7) * 2/3 = 7 - 14/3 = (21 - 14) / 3 = 7/3 = 2.3