Question

IF (sec A - tan A )/ (sec A + tan A) = 1/4
FIND THE VALUE OF sin A​

Answer 1

Answer:

Hey

Sec ∅ - tan∅ / Sec∅ + tan∅ = 1 / 4

=> 1 / cos∅ - sin∅ / cos ∅ / 1 / cos∅ + sin∅ / cos∅ = 1 / 4

=> 1 - sin∅ / cos∅ / 1 + sin∅ / cos∅ = 1 / 4

=> 1 - sin∅ / 1 + sin∅ = 1 / 4

=> 4 - 4sin∅ = 1 + sin∅

[ by cross - multiplication ]

=> - 4 sin∅ - sin∅ = 1 - 4

=> - 5 sin∅ = -3

=> 5sin∅ = 3

=> Sin∅ = 3 / 5

Answer 2

Step-by-step explanation:

1/cosA-sinA/cosA/

1/cosA+sinA/cosA=1-sinA/cosA/

1+sinA/cosA

=1-sinA/

1+sinA=1/4

=4-4sinA=1+sinA

=4-1=sinA+4sinA

=3=5sinA

=3/5=sinA