Question

If cosA=12/13 then find the value of 2sinA-TanA divided by tanA+2sinA​

Answer 1

Answer:

Step-by-step explanation:

Given that cosA = 12/13

=>cosA = b/h = 12/13

Then, p = √(h²-b²)

= √{(13)²-(12)²}

= √(169-144)

= √25

= 5

Now, sinA = 5/13 and tanA = 5/12

So, (2sinA-tanA)/(tanA+2sinA)

= (2×5/13-5/12)/(5/12+2×5/13)

= (10/13-5/12)/(5/12+10/13)

= {(120-65)/156}/{(65+120)/156}

= (55/156)/(185/156)

= 55/185

= 11/37