Question

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

Answer 1

Answer:

we know that .

sinA/cosA=tanA

therefore. ,

sinA/cosA=3/4..........

so,

1/sinA+1/cosA=Tan4/3..

hope itz helpful

Answer 2

Answer:

35/12

Step-by-step explanation:

sec²A-tan²A = 1

sec²A = 1+tan²A

sec²A = 1+(3/4)²

sec²A = 1+9/16 = (16+9)/16 = 25/16

secA = √(25/16) = 5/4

But cosA = 1/secA = 1/(5/4) = 4/5

cosA = 4/5

Also,

sin²A + cos²A = 1

sin²A = 1-cos²A

sin²A = 1-(4/5)² = 1-16/25 = (25-16)/25 = 9/25

sinA = √(9/25) = 3/5

1/sinA + 1/cosA = 1/(3/5) + 1/(4/5)

= 5/3 + 5/4

= (15+20)/12 = 35/12