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Find the largest value of parameter a such that equation 12sin2x * cos2x + (10a - 11)(cos4x - sin4x) = (2a-1)2 has at least one real solution.


Sketch one full period of the graph of each function. a. y= 1/3 tanx b. y= -3 tan 3x

A ship sails from port P on course N 300 E. After sailing 3 miles it changes course 3000 true and sailed 4 miles. How far is the ship at the lighthouse?


A ship sails on course 270 degrees true finds a lighthouse bearing 180 degrees true 10 miles away. When the ship has sailed 7 miles , compute the bearing of the lighthouse


If "\\theta" is an angle in the third quadrant, in which quadrant does the point (sin"\\theta" cos"\\theta" , sin"\\theta" +cos"\\theta" ) lie?


Sin3x+Sinx/Cos3x+cosx=tan2x


Prove that (sinx+cosx)^4 = sin^2 2x+ 2sin2x+1 where 90<x<180 . Hence, find the value of x if (sinx + cosx)^4=0

find one of the legs for the right-angle triangle in which it hypotenuse is 10 5m and other leg is 7m


For the function f(x) = sin x, show with the aid elementary formula


sinA=1/2(1–cos2A)


f(x+y) – f(x) = cos x sin y – 2sin x sin^2 (1/2y)


A furniture store offers free setup and delivery services to all points within a 35 mi radius of its warehouse distribution center. If you love 19 mi east and 20 mi south of the warehouse, will you incur a delivery charge?


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