Question

If sec A = cosec B = 5/3, then A+B is equal to A] 0degree B] 90 degree C] < 90 degree D] > 90degree​

Answer 1

Given A+B=90°

i.e,A=90°-B

and secA=5/3

sec(90°-B) =5/3

(because A=90°-B)

CosecB=5/3

(because sec(90°-A)=cosecA

Hence proved

Answer 2

option (b) is correct

A+B is equals to 90°

Step-by-step explanation:

we are given that

sec A = Cosec B = $\frac{5}{3}$

Using  only

sec A = Cosec B

we can change the  cosec  into sec form

cosec x= sec (90- x)....(1)

sec A = Cosec B

using (1)

sec A = sec (90- B)

Then ,

A = 90-B

A+B = 90°

where A and B both are the acute angles

Hence , option (b) is correct

A+B is equals to 90°

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