Answer:
Step-by-step explanation:
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Answer:
( √15 + 8)/7
Step-by-step explanation:
TanA = -√15
.we are to find tan(A-π/4).
In trigonometry
Tan(A-B) = TanA - TanB/1+ tanAtanB
Hence:
tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4
Substitute tan A value into the formula
tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4
tan(A-π/4) = -√15-1/1-√15
Rationalize
-√15-1/1-√15 × 1+√15/1+√15
= -√15-√225-1-√15/(1-√225)
= -2√15-15-1/1-15
= -2√15 -16/(-14)
= -2(√15+8)/-14
= √15 + 8/7
Hence the required value is ( √15 + 8)/7
Therefore the reminder is 3 when 5n is divided by 7.
Step-by-step explanation:
we know that
Dividend = quotient × Divisor +Reminder
⇔ n = Q(n) × 7 + 2 [ let Q(n) is quotient]
multiplying by 5 both sides
5n = 5 Q(n) ×7 + 2×5
⇔5n = 5 Q(n) ×7 +10
⇔5n= 5 Q(n) ×7 +7 +3
⇔ 5n = (5Q(n) +1) × 7 +3
Therefore the reminder is 3 when 5n is divided by 7.
Answer:
33
Step-by-step explanation:
35 take away 1 is 34 take away one more its 33
