May someone please help me with this :)
1 answer:
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Answer:
The quotient is 0. 0625 and the empty boxes in remainder are 4 and 8 respectively
Step-by-step explanation:
Given: or 1 divided by 16
Step 1: dividend is 1 and divisor 16 it is not divisible by 16 so the Quotient is 0 remainder is 1 .
Step 2: taking the decimal point above now dividend is 10 and divisor is 16 so it is again not divisible by 16 so the quotient is 0.0 and remainder is 10 now bringing next 0 in remainder so the dividend becomes 100.
Step 3: now dividend is 100 and divisor is 16 which is divisible by 16 by 6 times which is 96 so the Quotient becomes 0.06 and remainder becomes 4 now bringing next 0 in remainder so the dividend becomes 40.
Step 4: now dividend is 40 and divisor is 16 which is divisible by 16 by 2 times which is 32 so the Quotient becomes 0.062 and remainder becomes 8 now bringing next 0 in remainder so the dividend becomes 80.
Step 5: now dividend is 80 and divisor is 16 which is divisible by 16 by 5 times which is 80 so the Quotient becomes 0.0625 and remainder becomes 0
By the angle difference formula for sines, we have:
By the angle sum formula for tangents, we have:
.
Rationalizing the denominator gives
as the final answer.
By the angle sum formula for tangents, we have:
Rationalizing the denominator gives