Question

2. If cos A = 2 sin A, find cosecA.​

Answer 1

Answer:

the ans is ( under root 5)

Step-by-step explanation:

if 2 sin A= cos A

=> cosA/sinA=2

=> cot A=2 (cos/sin=cot)

=> cot= base/perpendicular

now let base be 2x

so perpendicular = x

and by pythagora's theorm

hypotenuse = (under root 5)x

now cosec= hypotenuse/perpendicular

so cosecA=(under root 5)x/x

(both the x get cancelled by each other)

and you get the ans as (under root 5)

HOPE IT HELPS..........

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Answer 2

Step-by-step explanation:

$cos \: A \: = 2 \: sin \: A$

$\frac{cos \: A}{sin \: A} = 2$

$cot \: A = 2$

${ \cot }^{2}A = 4 \\ {cosec}^{2} A - 1 = 4$

${cosec}^{2} A \: = 4 + 1$

$cosec \: A = \sqrt{5}$