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:
Alternate-exterior angles theorem.
Step-by-step explanation:
Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.
Answer:
-1.67539
Step-by-step explanation:
Answer:
Rate is 2%
Step-by-step explanation:
Step one:
given data
Principal= $7500
Simple interest= $450
time=3 years.
Applying the simple interest formula which is
SI=PRT/100
Step two:
substitute we have
450=7500*R*3/100
cross multiply we have
45000=22500R
divide both sides by 22500
R=45000/22500
R=2%
Answer:
a. 
b. 
Step-by-step explanation:
The image below shows step-by-step using Order of Operations (PEMDAS) to solve both of them.
Hope this helps my friend! :)
