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Nonamiya [84]
3 years ago
11

Verify that (sinx- cos x)2 = 1 - 2 sin x cos x is an identity.

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:

LHS = RHS

Step-by-step explanation:

{( \sin(x) -  \cos(x) ) }^{2}   \\  =  { \sin(x) }^{2}  +  { \cos(x) }^{2}  - 2 \sin(  x)  \cos(x)  \\ = 1 -  \sin(x )\cos(x)

Since,

{ \sin(x) }^{2} +   { \cos(x) }^{2}  = 1

THEREFORE LHS = RHS

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zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

<em>Lets explain how to find the measure of an angle from the length of the </em>

<em>sides of the triangle</em>

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

 to angle A is BC , the side opposite to angle B is AC and the side

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 cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}

<em>Lets solve the problem</em>

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

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- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

∴ cos(C)=\frac{(6)^{2}+(10)^{2}-(14)^{2}}{2(6)(10)}

∴ cos(C)=\frac{36+100-196}{120}

∴ cos(C)=\frac{-60}{120}=-0.5

∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle

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* <em>The measure of the largest angle is 120°</em>

8 0
3 years ago
Read 2 more answers
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So your answer is -2 2/3.

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3 years ago
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Maurinko [17]
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3 years ago
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Which expression shows the total area of 5 rooms, if the
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Answer:

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Step-by-step explanation:

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for the next two rooms,

area= 6l² = 6×15² = 1350

total area = 3084

5 0
3 years ago
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