Question

If 3 sinA =1 then value of 2cosAcosecA

Answer 1

3sinA = 1

sinA= 1/3

cosA = √8/3

cosA.cosecA = √8/3 * 3

= √8 = 2√2

hope it helps you

Answer 2

Answer:

3sinA = 1

sinA =1/3

As sinA = P/H = 1/3

AS we know sides are proportional in triangle ,

So, take P= 1, H=3

B= √(H)^2-P^2

=√((3)^2 -1 )

=√(9-1 )

=√8

=2√2

So, 2Cos A cosecA

= 2cos A . 1/sinA

= 2 cotA

As cotA = B/P

hence cotA = 2√2

So, 2cosA cosecA = 2 cotA

=2(2√2)

=4√2

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