Answer:
L.H.S.
= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)
Multiply numerator and denominator by 2.
= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)
= (2cos5a.sin2a - 2cos4a.sin3a)/
(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)
+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]
= (sina - sin3a)/(cso3a-cosa)
= (-2cos2a.sina)/(-2sin2a.sina)
= cos2a/sin2a
= cot2a
= R.H.S.
Answer:
-1/3125, 1/625, -1/125, 1/25 , -(1÷5) , 1 , -5
Step-by-step explanation:
1÷625÷(-1÷3 125) = -5
-1÷125÷(1÷625) = -5
(1÷25)÷(-1÷125) = -5
Then the common ratio of the geometric sequence is -5 then we keep multiplying by -5 each time to get the next term:
(1÷25)×(-5) = -(1÷5)
-(1÷5)×(-5) = 1
(1)×(-5) = -5
Answer: DC = 4
Step-by-step explanation: Because it is going 1 subtract everytime
Answer:4600
Step-by-step explanation:
15% of 4000
15/100 x 4000
(15x4000) ➗ 100
60000 ➗ 100=600
4000+15% of 4000
4000+600=4600
