Question

Ipf cos A = 4/5 and A lies in fourth in quadrant , find the value of sin A + tan A

Answer 1

Answer:

ur answer is here. i hope you help it

Answer 2

ANSWER:-

Given:

$cos \: </u><u>A</u><u> = \frac{4}{5} and \: </u><u>A</u><u> \: lies \: in \: fourth \: in \: quadrant.$

To find:

Find the value of sin A + tan A.

Solution:

cos A = 4/5 = Base/hypotenuse

Using Pythagoras theorem, we get;

=) H² = B² + P²

=) 5² = 4² + P²

=) 25 = 16 + P²

=) P² = 25 -16

=) P² = 9

=) P² = 3²

=) P= 3cm [Perpendicular]

Therefore,

Sin A = P/H = 3/5

tan A = P/B = 3/4

So,

sin A + tan A

$= > \frac{3}{5} + \frac{3}{4} \\ \\ = > \frac{12 + 15}{20} \\ \\ = > \frac{27}{20}$

Hope it helps ☺️