Question

If 5 Tan alpha = 4, show that 5 Sin alpha - 3 Cos alpha / 5 Sin alpha + 2 Cos alpha = 1/6

Answer 1

Step-by-step explanation:

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Answer 2

We have,

5 tan α⇒tanα=54

Now, 5sinα+2cosα5sinα−3cosα

=cosα5sinα+2cosαcosα5sinα−3cosα

=cosα5sinα+cosα2cosαcosα5sinα−cosα3cosα

=5tan,α+25tan,α−3

=5×54+25×54−3

=4+24−

=1/6