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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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I need help with this question
maxonik [38]

Answer:

he is 5 feet tall

Step-by-step explanation:

if you stacked him up 5 times he would be as tall as the tree which is 25 feet tall

4 0
3 years ago
Read 2 more answers
What value of x would make Bl parallel to RA?
igomit [66]

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

\angle ATR\cong \angle ITB              [Common angles]

\angle ART\cong \angle IBT              [Corresponding angle]

\triangle ATR\sim \triangle ITB              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

\dfrac{AT}{IT}=\dfrac{AR}{IB}

\dfrac{x}{x+8}=\dfrac{12}{18}

\dfrac{x}{x+8}=\dfrac{2}{3}

On cross multiplication, we get

3(x)=2(x+8)

3x=2x+16

3x-2x=16

x=16

Therefore, the correct option is C.

8 0
3 years ago
Please help with this question.
rusak2 [61]
I don’t know the answer but i wish you the best of luck!
6 0
4 years ago
Based on the quadratic model, approximately what number of salespeople maximizes the company's profits?
uranmaximum [27]

Given

Quadratic model

Find

number of salespeople maximizes the company's profits

Explanation

as we see from the curve that maximum monthly profit is between 35 to 40 ,

so , it is approximately near to 37 sales people.

Final Answer

Hence , the best option is B

3 0
1 year ago
What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
boyakko [2]
The total amount of interest will be found using compound interest formula:
A=p(1-r/100)^n
A=future amount
p=principle
r=rate
n=time
From the information given:
p=$6500, r=6%, n=25 years
thus
A=6500(1+6/100)^25
A=6500(1.06)^25
A=$27,897.16

Answer: 27897.12-6500=$$21397.2
3 0
3 years ago
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