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1. Solve for theta in the interval 0<theta<2pi. Give answers in radians either correct to 3 decimal places or as exact values.
13cos^2 - 5cos = 12sin^2 - 6
3) Scientists use visual magnitude to measure the brighness of a star. The smaller the number, the brighter the star. An increase in magnitude of 1 unit represents a decrease of 60% in the brighness of a star.
a) The star Vega has a magnitude of 0. If a second star has a visual magnitude of -2.4, how many times brighter than Vega is this star?
b) If a star is 15% as bright as Vega is , what is its visual magnitude?
c)How is this scale different from the Richter scale?
For this next question all I need is a basic run through of what I have to do.
4) a and B are both angles in the second quadrant. If sin a = 1/3 and sin B = 2/3, find the exact value of cos (a +b).
Thanks
13cos^2 - 5cos = 12sin^2 - 6
3) Scientists use visual magnitude to measure the brighness of a star. The smaller the number, the brighter the star. An increase in magnitude of 1 unit represents a decrease of 60% in the brighness of a star.
a) The star Vega has a magnitude of 0. If a second star has a visual magnitude of -2.4, how many times brighter than Vega is this star?
b) If a star is 15% as bright as Vega is , what is its visual magnitude?
c)How is this scale different from the Richter scale?
For this next question all I need is a basic run through of what I have to do.
4) a and B are both angles in the second quadrant. If sin a = 1/3 and sin B = 2/3, find the exact value of cos (a +b).
Thanks