Question

if 4cosx=11sinx, find the value of 11cosx-7sinx / 11cosx+7sinx​

Answer 1

Answer:

Answer

We have

4cosx=11sinx

4(

cosx

cosx

)=11(

cosx

sinx

)

4=11tanx

tanx=

11

4

... (1)

Now,

11cosx+7sinx

11cosx−7sinx

=

11(

sinx

cosx

)+7(

cosx

sinx

)

11(

cosx

cosx

)−7(

cosx

sinx

)

[dividing numerator and denominator by cos x]

=

11+7tanx

11−7tanx

=

11+7(

11

4

)

11−7(

11

4

)

=

11+

11

28

11−

11

28

=

121+28

121−28

=

149

93