Chapter1 (Q1) Use identities to find exact value .a. \(Cos (π/12)\) b. \(Cos (-7π/12)\) c. \(Cos40°cos50°-Sin40°sin50°\)d. \(Cos 7π/9 cos 2π/9+Sin 7π/9 sin 2π/9\)

Chapter1 (Q2) each function value in terms of the co-function of a complementary angle.a. \( sin 5π/8 \) b. \(cot 9π/10 \) c. \(sec146° (42)^’ \) d. \(Tan174°(03)^’ \) e. \( Cot 176.9814°\)

Chapter1 (Q3) Use the identities for the cosine of a sum or difference to write each expression as a function:a. \(Cos(0°+θ)\)b. \(Cos(90°+θ)\)c. \(Cos(180°+θ) \)d. \(Cos(270°+θ) \)

Chapter1 (Q4) Find Cos ( x+t) and cos ( x-t).a.Sinx=2/3 and sint=-1/3,x in quadrant 2and t quadrant 4b.Sinx=√5/7 and sint=√6/8,x in and t inquadrant 1c.Cosx=√2/4 and sint=-√5/6,x and t in quadrant 4

Chapter1 (Q6) Use identities to find each exact value :a. \(Tan(-7π/12 ) \) b. \(Sin40°cos50°+sin40°sin50° \) c.\ (Tan80°+Tan55°)/(1-Tan80°Tan55°) \)d. \((Tan80°+Tan(-55°))/(1-Tan80°Tan(-55°)\) e.\( (Tan100°+Tan(80°))/(1-Tan100°Tan(80°)\) f. \((Tan 5π/12+Tan π/4)/(1-Tan 5π/12 Tan π/4)\)g. \( Sin π/5 Cos 3π/10 cos π/4+Cos π/5 sin 3π/10 \)

Chapter1 (Q7) Use the given information to find a) Sin (s + t ) b, Tan ( s + t) and c) the quadrant of s + t .a. \(Cos s=15/17 and sint=4/5,s in quadrant 2 and t in quadrant 1. \)b. \(Sin s=2/3 and sint=-1/3,s in quadrant 2 and t in quadrant 1.\)c. \( Cos s=-1/5 and sint=3/5,s in and t in quadrant 2.\)

Chapter1 (Q8) Find each of the following a)\(Cosθ, given Cos2θ=1/2, and θ terminates in quadrant 2.\)b). \(Cosx, given Cos2x=-5/12, With π/2