упростите выражение:
√3/2sina+cos(a-π/3)
так понятнее:
[tex] \frac{ \sqrt{3 \\ } }{2} \sin( \alpha ) + \cos( \alpha - \frac{\pi}{3} ) [/tex]
√3/2sina+cos(a-π/3)
так понятнее:
[tex] \frac{ \sqrt{3 \\ } }{2} \sin( \alpha ) + \cos( \alpha - \frac{\pi}{3} ) [/tex]
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Ответ:
[tex] \frac{ \sqrt{3} }{2} \sin(a) + \cos(a - \frac{\pi}{3} ) [/tex]
[tex] \frac{ \sqrt{3} \sin(a) }{2} + \cos(a - \frac{\pi}{3} ) [/tex]
[tex] \frac{ \sqrt{3} \sin(a) }{2} + \cos(a) \cos( \frac{\pi}{3} ) + \sin(a) \sin( \frac{\pi}{3} ) [/tex]
[tex] \frac{ \sqrt{3} \sin(a) }{2} + \cos(a) \times \frac{1}{2} + \sin(a) \sin( \frac{\pi}{3} ) [/tex]
[tex] \frac{ \sqrt{3} \sin(a) }{2} + \cos(a) \times \frac{1}{2} + \sin(a) \times \frac{ \sqrt{3} }{2} [/tex]
[tex] \frac{ \sqrt{3} \sin(a) }{2} + \frac{ \cos(a) }{2} + \sin(a) \times \frac{ \sqrt{3} }{2} [/tex]
[tex] \frac{ \sqrt{3} \sin(a) }{2} + \frac{ \cos(a) }{2} + \frac{ \sqrt{3} \sin(a) }{2} [/tex]
[tex] \sqrt{3} \sin(a) + \frac{ \cos(a) }{2} [/tex]