Question

1Find the value of cos56°/ sin34°

Solution : 56° + 34° = 90° means 56 and 34 are the measures of ……………..angles.

Sin ……. = cos (…………)

∴sin 34° = cos (…….)° = cos 56°

∴ cos56 °/ sin34 ° = ………./ ………..= 1​

Answer 1

Step-by-step explanation:

cos56°/sin34°

= sin (90-56)/sin 34

= sin 34°/sin34°

= 1

Answer 2

Answer:

$\cos(56) \div \sin(34) = 1$

Step-by-step explanation:

56° + 34° = 90° means 56 and 34 are the measures of complementary angles

$\sin( \alpha ) = \cos(90 - \alpha )$

so,

$\sin(34) = \cos(90 - 34) = \cos(56) \\ \cos(56) \div \sin(34) = \sin(90 - 56) \div \sin(34) \\ \sin(34) \div \sin(34) = 1$