Question

If secA=5/4. Show that 2cosA-sinA/tanA-cotA =12/7

Answer 1

Answer:

I think the answer should be -12/7 instead of +12/7

Answer 2

Step-by-step explanation:

secA=5/4

cosA=1/secA=4/5

cos^2A+sin^2A=1

sin^2A=1-cos^2A

sin^2A=1-(4/5)^2

sin^2A=1-16/25

sin^2A=25-16/25

sin^2A=9/25

sinA=3/5

2cosA-sinA/tanA-cotA

=2(4/5)-(3/5)/(3/5)/(4/5)-(4/5)/(3/5)

=(8/5)-(3/5)/(3/4)-(4/3)

=(5/5)/(9-12)/12

=-12/7

The answer comes to be in negative. Please check