Question

if 4cot∞=3 then show that sin∞-cos∞/sin∞+cos∞=1/7

Answer 1

Step-by-step explanation:

Take sinA common from numerator and denominator of the given expression,

4sinA−5cosA

2sinA+3cosA

=

sinA(4−5

sinA

cosA

)

sinA(2+3

sinA

cosA

)

=

4−5cotA

2+3cotA

=

4−5×

4

3

2+3×

4

3

=

4−

4

15

2+

4

9

=

4

17

×

1

4

=17