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KengaRu [80]
3 years ago
15

Prove. sin³A-cos³A/sinA-cosA = 1+sinAcosA​

Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

\frac{ \sin {}^{3} A -  \cos {}^{3}  A }{ \sin A -  \cos A}  \\  \\ { \sf{ =  \frac{ {( \sin A -  \cos A)}^{3}   +  3 \sin A \cos A( \sin A  -   \cos A)}{ \sin A -  \cos A}  }} \\  \\  =  { {( \sin A -  \cos A)}^{2}  +  3 \sin A \cos A} \\ { \sf{ = ( \sin {}^{2}  A +  \cos {}^{2}  A) - 2 \sin  A \cos  A + 3\sin  A \cos  A}}  \\  = { \sf{1 +\sin  A \cos  A }}

#hence proved

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3214325435435345353534
OLEGan [10]

Answer:

3214325435435345353534

Step-by-step explanation:

32143255345353534321432543543534535353432143254354353453535345345353534321432543543534535353432143254354353453535343214325534535353432143254354353453535343214325435435345353534534535353432143254354353453535343214325435435345353534

5 0
2 years ago
A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.
Lelechka [254]

Answer:

One hundred and fifty 40 pounds boxes and twenty 75 pounds boxes

Step-by-step explaination:

The maximum amount he can haul in one load is 7500 pounds

150 × 40 pounds boxes = 6000 pounds

20 × 75 pounds boxes = 1500 pounds

6000 pounds + 1500 pounds = 7500 pounds

8 0
3 years ago
Please solve this question <br>the answer is 45 degree ​
malfutka [58]

Answer:

∠ABC= 45°

Step-by-step explanation:

∠ABC= ∠BCD (alt. ∠s, AB//CD)

(2x +15)°= (3x)°

2x +15= 3x

3x-2x= 15 <em>(</em><em>-2x </em><em>on </em><em>both </em><em>sides)</em>

x= 15

Substituting the value of x:

∠ABC

= ∠BCD

= [3(15)]°

= 45°

7 0
2 years ago
your 5-year loan of $14 000 is at 4.3% compounded annually. How much will you have paid in total for your loan?
kogti [31]

Answer:

$17, 280.00

Step-by-step explanation:

A= P(1+r)^t

A= 14000(1+0.043)^5

A= 17, 280

4 0
3 years ago
Given h(x) = 3x + 4, find h(-1).
larisa86 [58]
Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1
6 0
2 years ago
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