Math, asked by fkavalageri, 6 days ago

sin600. cos300+cos120.sin150​

Answers

Answered by etperegrinefalcon01
1

Answer : -1

Step Bt Step Explanation:

sin 600° cos 330° + cos 120° sin 150°

= sin(360° + 240°) cos(360° – 30°) + cos(90° + 30°) sin(180° – 30°)

= sin 240° cos 30° – sin 30° sin 30°

= sin(270° – 30°) cos 30° – (1/2)(1/2)

= -cos 30° cos 30° – (1/4)

= -(√3/2)(√3/2) – (1/4)

= -(3/4) – (1/4)

= -4/4

=-1

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