If sin a = 1/2 and cos b = 1/2, then find a+b ?

1.	If sin a = 1/2 and cos b = 1/2, then find a+b ?
Answer» QUESTION : $\sf{If\:sin\:a=\frac{1}{2}\:and\:cos\:<klux>B</klux>=\frac{1}{2},}$ $\sf{Then\: <klux>FIND</klux>\:the\: value\:of\:a+b.}$ SOLUTION : $\sf{\:\:\:sin\:a=\frac{1}{2}}$ $\sf{We\: know,\:sin30=\frac{1}{2}}$ $\implies\sf{sin\:a=sin\:30}$ $\implies\sf{a\:=\:30}$ $\sf{\:\:\:cos\:b=\frac{1}{2}}$ $\sf{We\: know,\:cos60=\frac{1}{2}}$ $\implies\sf{cos\:b=cos\:60}$ $\implies\sf{b\:=\:60}$ ✪ Now find the value of (a+b)✪ $\sf{a+b}$ † Putting a = 30 and b = 60 † $\sf{=(30+60)}$ $\sf{=90}$ Hence , the value of (a+b) is 90°. _______________________ ★MORE INFORMATION : Some values of trigonometry:- sin30° = 1/2 sin45° = 1/√2 sin60° = √3/2 sin90° = 1 cos30° = √3/2 cos45° = 1/√2 cos60° = 1/2 cos90° = 0 tan30° = 1/√3 tan45° = 1 tan60° = √3 ________________________

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