Please help me with this question math whizzes!?

Question

Question 1: Find the exact numerical value of

2sin^2 60°+tan^2 30°-cos 45°

Question 2: Simplify the following expressions:

a) sin A. cos (180°- A). cos (90° + A)

b) cos (90°+q). sin(90°-q) + sin (90°+q). cos (90°-q)

note: the q is an (unknown I think) angle symbol the one with the oval with the line through the middle of it).

c) sin (180° - x). cos x ¸(divide by, large line separating both lines)
tan (180° - x)

Question 3:Use your calculator to evaluate the following correct to 2 decimal places (I haven't got my graphics calculator with me...long story)

a) sin58.7°
b) tan 31°8'
c) cos(-73°42' )

Question 4: Answer true or false to each of the following:
a) sin^2a= (sin a)^2
b) sin^2 41°+cos^2 41°=1
c) tan 53°12' = 1.33 (correct to 2dp)
d) cos (10°+30°)=cos 10°+cos 30°
e) cos (90°- x)=sin x

Thankyou for your help. Please write down which each working and answer is for clearly (question 1, 2, 3 or 4 and a, b, c etc).

Answer 1

Q1: 11/6 - 1/√2
Q2: a) Cos(A)Sin^2(A)
b) 0
c) - Cos^2(x)
Q3: a) 0.84
b) 0.60
c) 0.28
Q4: a) False
b) True
c) True
d) False
e) True

Answer 2

Please help me!