Sum and difference identities

Find the coordinates of P(π/12) x = (1+√3)/(2√2) To find the y-coordinate you use the identity: sin(α - β) = (sinα)(cosβ) (cosα)(sinβ) Why do we use this identity? eg, why don't we use sin(α + β) = (sinα)(cosβ) + (cosα)(sinβ) ??

Trigonometry : Word Problems

Please see the attached file for the fully formatted problems. Find the exact trigonometric function value. sec 2655 Solve the problem. From a boat on the lake, the angle of elevation to the top of a cliff is If the base of the cliff is 1216 feet from the boat, how high is the cliff (to the nearest foot)? Solve the ...continues

Trigonometry : Tan of an Angle

Use a calculator to find the function value. tan 63 degrees 44'

Trigonometry : Word Problem

From a boat on the lake, the angle of elevation to the top of a cliff is 16° 10' If the base of the cliff is 1216 feet from the boat, how high is the cliff (to the nearest foot)? Which is the correct answer? 353 ft 356 ft 366 ft 363 ft

Trigonometry

Use a calculator to find the function value. tan 6344'. What is the correct answer 2.0272 2.0269 2.0266 2.0263

Trigonometry : Period, Amplitude, Range, Y-intercept and Phase Shift

Develop the solutions for the following problems: 1.) Graph the function y = -1 + 2sin(x + π) over a 2-period interval. a. What is it's period? b. What is its amplitude? c. What is it's range? d. What is the y-intercept of it's graph? e. what is it's phase shift? 2.) The formula for the up and down motion o ...continues

Trigonometric Identities

If you would please give me each step to solve these problems so I can get a better understanding how to solve these types of problems would be very helpful. Thanks. Graph each expression and use the graph to conjecture an identity. Then verify your conjecture algebraically. 1. sec x - sin x tan x Verify that each equat ...continues

There are three problems posted.

Section on using the properties of algebraic, trigonometric, logarithmic and exponential functions to solve problems. 1) Solve the following equation: log5 X + log5(X-2) = log5 X 2) The half-life of a certain radioactive element is 100days. That means that after 100 days ½ of the radioactive substance will ...continues

Trigonometric proofs

1) Prove from the unit circle that sin²⊖ + cos²⊖ = 1. Using the result describe the equation for which x = 3 + 2cos⊖, y = 1 + 3sin⊖. 2) Using problem one simplify sin²⊖/(1 + cos⊖) + sin²⊖/(1 - cos⊖)

Use the fundamental identities to find the value of the trigonometric function.

Find csc s if sin s = - 2/3 and s is in quadrant IV. Which one is the correct answer. a) -square root of 7/9 b) 5/4 c) 3 (square root of 7)/7 d) - 3/2