Purchase Solution

Trigonometry questions of identity

Not what you're looking for?

Ask Custom Question

1. Express in equivalent form: log x + log 1 - 6 log (y + 4)

2. 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?

3. Given y = 9 sin(8x - p), state the
(a) period
(b) phase shift

4. 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 arcsin sin( 2π/3 )

5. Solve. ( x+13/x+6 ) + ( 84/ x^2-36) = 0

6. Suppose that sin q = 5/13 and that q is a Quadrant II angle.
(a) Find the exact value of cos ϴ
(b) Find the exact value of sin 2ϴ.

7. Prove the identity 1 - (sin x - cos x)2 = sin 2x

Attachments
Purchase this Solution

Solution Summary

This posting includes detailed solutions some questions on solving algebraic equation, solving trigonometric equation and finding equation of circle.

Solution Preview

1. Express in equivalent form: log x + log 1 - 6 log (y + 4)
Solution:

Answer:

2. Points (4, -7) and (6, 3) are endpoints of the diameter of a circle.
(a) What is the exact length of the diameter?
Solution:
Diameter

Answer:
(b) What is the center of the circle?
Solution:
Center =
Answer: (5,-2)
(c) What is the equation of the circle?
Solution:
Radius = /2 = ...

Solution provided by:
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
Recent Feedback
  • "Perfect, thank you so much!!! I will definitely request you in the future! You are amazing!"
  • "Thank you. "
  • "Thank you so much I have two more that I need your help with if your available."
  • "Thank you, I was wondering why you rejected me the first time."
  • "Thanks again."
Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.