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Ray Of Light [21]
3 years ago
6

Sin(A+B)/sin A cos B = 1 + cot A tan B how to verify the identity?

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Using the identities

sin(A + B) = sinAcosB + cosAsinB

cotA = \frac{cosA}{sinA} , tanA = \frac{sinA}{cosA}

Consider the left side

\frac{sin(A+B)}{sinAcosB}

= \frac{sinAcosB+cosAsinB}{sinAcosB}

= \frac{sinAcosB}{sinAcosB} + \frac{cosAsinB}{sinAcosB}

= 1 + \frac{cosA}{sinA} . \frac{sinB}{cosB}

= 1 + cotA tanB = right side , thus verified

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Anarel [89]

Answer:

15, inches, 7, inches

Step-by-step explanation:

44=2(8+l)+2l

44=16+4l

28=4l

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5 0
3 years ago
What is the constant in this expression?<br> 4<br> m-417+3.5+52
Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
A father is 3 times as old as his son and his daughter is 3 years younger than the son. Fi the sum of there ages 3 years ago was
inn [45]

Answer:the present age of the father is 45 years

Step-by-step explanation:

Let x represent the present age of the father.

Let y represent the present age of the son.

Let z represent the age of the daughter.

A father is 3 times as old as his son. This means that

x = 3y

his daughter is 3 years younger than the son. It means that

z = y - 3

The sum of their ages 3 years ago was 63. This means that

x - 3 + y - 3 + z - 3 = 63

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Substituting x = 3y and z = y - 3 into equation 1, it becomes

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5y - 12 = 63

5y = 63 + 12 = 75

y = 75/5 = 15

x = 3y = 3 × 15

x = 45

z = y - 3 = 15 - 3

z = 12

3 0
3 years ago
What do i do i don't understand??
egoroff_w [7]
Elaborate? i will try to help!
4 0
3 years ago
Which equation, together with y = -1.5x + 3, makes a system with one solution?
SIZIF [17.4K]
The answer to your problem would be 2Y +3x=6
3 0
3 years ago
Read 2 more answers
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