Question

Find value of cos 56°/sin34°

Answer 1

Since 56 and 34 are complementary angles

cos56°\sin34°
= sin (90-56)/sin 34
= sin 34°\sin34°
= 1

Answer 2

Answer:

$\frac{\cos 56^\circ}{\sin 34^\circ}=1$

Step-by-step explanation:

Given : Expression $\frac{\cos 56^\circ}{\sin 34^\circ}$

To find : The value of the given expression?

Solution :

We know, that 56 and 34 are complementary angles  

and we re-write the given expression as

$\frac{\cos 56^\circ}{\sin 34^\circ}$

$=\frac{\sin(90-56}{\sin 34}$

$=\frac{\sin 34}{\sin 34}$

$=1$

Therefore, $\frac{\cos 56^\circ}{\sin 34^\circ}=1$