Establish the identity.tan2x = sec2x - sin2x - cos2x
What will be an ideal response?
tan2 x = sec2 x - 1 = sec2 x - (sin2 x + cos2 x) = sec2 x - sin2 x - cos2 x.
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Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.An isosceles triangle with sides of length 6 cm and 15 cm.
A. No triangle can be constructed. B. Exactly one triangle can be constructed. C. Two or more noncongruent triangles can be constructed.
Simplify.
A. 
B. - 
C. - 
D. 
Find the equation of the tangent line to the graph of f(x) = tan x at 
.
A. y = 2x + 1 - 
B. y = 2x - 
C. y = 2x + 
D. y = 2x - 1
E. none of these
Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses that he sells at the local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 40 hours per week and he must produce more dog houses than chairs. Write a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced in a week. 
A. 
B. 
C. 
D. 