Question

If sin 5∅ = cos 4∅and 5∅ and 4∅are acute
angles, find the value of ∅.​

Answer 1

Answer:

Step-by-step explanation:

A/c to question,

sin5∅ = cos4∅

we know,

sin∅ = cos( 90- ∅) use , this here,

cos( 90° - 5∅) = cos4∅

we also know ,

if CosA = cosB

then,

A = B use, this

(90 -5∅) = 4∅

90° = 5∅ + 4∅

90° = 9∅

∅ = 90°/9 = 10°

hence, theta = 10°