Question

Sec theta -tan theta/sec theta + tan theta=1/4 .find sin theta

Answer 1

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


thanks :)

Answer 2

Answer:

secθ+tanθ=7

∵, sec²θ-tan²θ=1

or, (secθ+tanθ)(secθ-tanθ)=1

or, 7(secθ-tanθ)=1

or, secθ-tanθ=1/7

Step-by-step explanation: