If cosec theta . cos( theta + 54) = 1, find the value of theta so that theta and (theta + 54) are acute angles.
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cosec theta*cos(theta+54)=1
cosec theta*sin{90°-(theta+54)}=1
cosec theta*sin(90°-theta-54)=1
1/sin theta*sin(36-theta)=1
sin(36-theta)=sin theta
36- theta= theta
36= 2* theta
theta=18°
theta+54°=18°+54°
=72°
cosec theta*sin{90°-(theta+54)}=1
cosec theta*sin(90°-theta-54)=1
1/sin theta*sin(36-theta)=1
sin(36-theta)=sin theta
36- theta= theta
36= 2* theta
theta=18°
theta+54°=18°+54°
=72°
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