Question

If tanA=3/4, find the value of 1/sinA+1/cosA

Answer 1

Answer:

tanA=3/4=3k/4k

sinA=3k/5k=3/5,cosA=4k/5k=4/5

1/sinA+1/cosA

=5/3+5/4

=(20+15)/12

=35/12

Step-by-step explanation:

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Answer 2

Answer:

35/12

Step-by-step explanation:

tanA = 3/4 .........given

tanA = sinA/ cosA

therefore , sinA/cosA = 3/4

4sinA = 3cosA

take square on both sides

16sin^2 A = 9cos^2 A

16sin^2 A = 9 - 9sin^2 A. ..........sin^2 A = 1 - cos^2 A

25sin^2 A = 9

sin^2 A = 9/25

sinA = 3/5

cos^2 A= 1 - sin^2 A

therefore cosA = 4/5

Now ,

1/sinA + 1/ cosA

= 5/3 + 5/4

= 35/12