Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
Answer: n= 32
Jakes started with 32
Step-by-step explanation:
Let n represent the initial integer.
Step 1: take the reciprocal.
Reciprocal of n = 1/n
Step 2: double the number obtained in step 1
= 2×1/n = 2/n
Step 3: take the reciprocal of the number obtained in step 2.
Reciprocal of 2/n = n/2
Since he ended up with 16
n/2 = 16
n = 2×16 = 32
Answer:
You just divide the numbers to get the hourly pay.
98÷5÷2
$9.80/hr
<span>The answer is A because the die rolled first time can in no way affect the outcome of the second roll of the die, so both the events are independent events which do not affect each other.</span>
