Question

if cosx is equal to 1÷3 then what is sinxcotxcosecxtanx equal to​

Answer 1

Answer:

1

Step-by-step explanation:

given

cosx=1/3

cosx=adjacent/hypotenuse

find sinx and tanx

by using pythagoras theorem

opposite²+adjacent²=hypotenuse²

opposite²+1=9

opposite²=9-1

opposite²=8

opposite=2√2

sinx = opposite/hypotenuse=2√2/3

tanx=opposite/adjacent=2√2

cotx=1/tanx=1/2√2

cosecx=1/sinx=3/2√2

sinxcotxcosecxtanx

2√2/3×1/2√2×3/2√2×2√2=1