Question

If 5 cot theta = 1 /4. Find the value of 5 sine theta- 3 cos theta/
5 sine theta +2 cos theta​

Answer 1

Answer:

Step-by-step explanation:

5cot ∅ = 1/4 then, cot∅ = 1/4 x 1/5 = 1/20 ( cos∅ / sin∅ )

Dividing the numerator and denominator with sin∅, we get:

= 5 ( sin∅/sin∅) - 3 (cos∅/sin∅) / 5(sin∅/sin∅) + 2 ( cos∅/sin∅ )

= 5(1) - 3(1/20) / 5(1) + 2 (1/20)

= 5 - 3/20 / 5 + 2/20

= 100-3/20 / 100+2/20

= 20 cut off from up and down so,

= 97/102 (ANS)