Question

Find thita if cos 2 thita=sin 3 thita, where 2 thita and 3 thita are acute angles.​

Answer 1

Answer:2 thita=36°,3 thita =54°

Step-by-step explanation:si (90°-thita)=cos thita

cos 2 thita=sin 3 thita from above we get

sin (90°-2thita)=sin 3 thita

remove sin on both sides then we get ,

90°-2 thita =3 thita

90°=3 thita+2 thita

5 thita =90°

thita=90°/5=18°

2 thita=2×18=36°,3 thita =3×18=54