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  • The value of  for which <img alt="\sin (44^{\circ} + \theta ) = \cos 30^{\circ}" src="https://learn.careers360.com/latex-image/?%5Cdpi%7B100%7D%20%5Csin

The value of \theta for which \sin (44^{\circ} + \theta ) = \cos 30^{\circ}, is 
Option: 1 46°
Option: 2 60°  
Option: 3 16°
Option: 4 90°

Answers (1)

Given: 

\sin (44^{\circ} + \theta ) = \cos 30^{\circ}

\\\sin (44^{\circ} + \theta ) = \cos (90-60)^{\circ} \\ \sin (44^{\circ} + \theta ) = \sin 60^{\circ} \because \sin (90^{\circ} - \theta ) = \cos \theta^{\circ} \\ \\ (44^{\circ} + \theta ) = 60^{\circ} \\ \theta = 16^{\circ} \\

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Safeer PP

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