Question

If5cosA=3, find the value of 3tanA-1/6tanA+7

Answer 1

Answer:

5cosA = 3

cosA = 3/5 = base / hypotenuse

By using Pythagoras theorem

( H )² = ( P )² + ( B )²

( 5 )² = P² + ( 3 )²

25 = P² + 9

25 - 9 = P²

16 = P²

P = √16 = √4×4

P = 4

finding the value

3tanA - 1 / 6TanA+7

3×4/3 - 1 / 6×4/3 +7

cut the multiplication values

=4 - 1 / 2×4 + 7

=3 / 8 + 7

=3 / 15

= 5

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