Assignment:
Q1. Express in equivalent form: log x + log 1 – 6 log (y + 4)
Q2. Points (4, –7) and (6, 3) are endpoints of the diameter of a circle./
(a) What is the exact length of the diameter?
(b) What is the center of the circle?
(c) What is the equation of the circle?
Q3. Given y = 9 sin(8x – p), state the
(a) period
(b) phase shift
Q4. Solve the trigonometric equation (sin x)(2cos x − 1) = 0 in the interval [0, 360°).
(a) Find the exact value of arccos sin( 3π/ 2 )
(b) Find the exact value of arcsinsin( 2π/3 )
Q5. Solve. ( x+13/x+6 ) + ( 84/ x^2-36) = 0
Q6. Suppose that sin q = 5/13 and that q is a Quadrant II angle.
(a) Find the exact value of cos ?
(b) Find the exact value of sin 2?.
Q7. Prove the identity 1 – (sin x – cos x)2 = sin 2x
Provide complete and step by step solution for the question and show calculations and use formulas.