Question

if 15 cotA = 8 then find value of cosecA​

Answer 1

Answer:

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Solution:-

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Given -

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15cotA=8

cab also be written as,

cotA=8/15

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to find - cosecA

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cosecA=H/P

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cotA=8/15=B/P

B=8,P=15

By using Pythagorus theorem,

H^2=P^2+B^2

H^2=(15)^2+(8)^2

H^2=225+64

H^2=289

H=√289=17

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So ,cosecA=H/P

=>17/15

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hope helps✊

Answer 2

The value of cosecA is ±17/15.

Step-by-step explanation:

It has been given that

$15\cot A= 8$

Divide both sides by 15

$\cot A= \frac{8}{15}$

Now, the relation between cosecФ and cotФ is $\csc\theta=\pm\sqrt{1+\cot^2\theta}$

Substituting the value, we get

$\csc A=\pm\sqrt{1+(\frac{8}{15})^2}\\\\\csc A=\pm\sqrt{1+\frac{64}{225}}\\\\\csc A=\pm\sqrt{\frac{289}{225}}\\\\\csc A=\pm\frac{17}{15}$

The value of cosecA is ±17/15.

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If tan a= √3 find the other trigonometric ratios​

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