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Trigonometrical Equations
easy
यदि $\sin (A + B) =1$ तथा $\cos (A - B) = \frac{{\sqrt 3 }}{2},$ तो $A$ तथा $B$ के न्यूनतम धनात्मक मान हैं
A
${60^o},{\rm{ }}{30^o}$
B
${75^o},{\rm{ }}{15^o}$
C
${45^o},{\rm{ }}{60^o}$
D
${45^o},{\rm{ }}{45^o}$
Solution
$\sin (A + B) = 1$ तथा $\cos (A – B) = \frac{{\sqrt 3 }}{2}$
$ \Rightarrow $ $A + B = \frac{\pi }{2}$ तथा $A – B = \frac{\pi }{6}$
$ \Rightarrow $ $A = \frac{\pi }{3},\,B = \frac{\pi }{6}$.
Standard 11
Mathematics
