Question

If 5 cos theta = 4.
Find sin theta - 2 cos theta divided by tan theta - cot theta.

Answer 1

Answer:

Step-by-step explanation:

5cos theta =4

for ease of writing, I am considering theta as X

5cosX=4

=> cosX=4/5

in a right triangle --> Cos (angle) = base/hypotensuse

using pythagoras theorem find the third side

$h^{2}=p^{2}+b^{2}\\5^{2}=p^{2}+4^{2}\\25=p^{2}+16\\p^{2}=25-16\\p^{2}=9\\p=3$

sinX=3/5

tanX=3/4

cotX=4/3

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

----------------

(3/4)-(4/3)

just solve the above fraction