Question

In fig, sin α + cos α =_____​

Answer 1

Answer:

7/5 is your answer........

Answer 2

Answer:

$\frac{7}{5}$

Step-by-step explanation:

We know that,

$\sin( \alpha ) = \frac{opposite \: side \: of \: \alpha }{hypotense \: of \: triangle}$

$\cos( \alpha ) = \frac{adjecent \: side \: of \: \alpha }{hypotenuse \: of \: triangle}$

From the figure,

$opposite \: side \: of \: \alpha = 3$

$adjecent \: side \: of \: \alpha = 4$

$hypotenuse \: of \: triangle \: = 5$

Then,

$\sin( \alpha ) = \frac{3}{5}$

$\cos( \alpha ) = \frac{4}{5}$

Now,

$\sin( \alpha ) + \cos( \alpha ) = \frac{3}{5} + \frac{4}{5}$

$\sin( \alpha ) + \cos( \alpha ) = \frac{3 + 4}{5}$

$\sin( \alpha ) + \cos( \alpha ) = \frac{7}{5}$

Therefore, in the figure, sin alpha+cos alpha = 7/5

Hope it helps you.

Good Luck.