Download CliffsStudySolver Trigonometry (Cliffsstudy Solver) by David Alan Herzog PDF

By David Alan Herzog

The learn-by-doing technique to grasp Trigonometry Why CliffsStudySolver courses? pick the identify you recognize and belief Get the knowledge you need--fast! Written through academics and academic experts Get the concise assessment fabrics and perform you want to study Trigonometry, together with: causes of All components and ideas * Angles and quadrants * Graphs of trigonometric features * Trigonometry of triangles * Trigonometric identities * Vectors * Polar coordinates and complicated numbers * Inverse features, equations, and movement Strategic research Aids * transparent, concise stories of each subject * precis of formulation * desk of trigonometric capabilities * thesaurus * fabrics designed for prime institution and faculty scholars Problem-Solving strategy and instruments * Diagnostic pretest to pinpoint components that want additional learn * perform questions after each chapter--with solutions and factors * Full-length perform examination with evaluation techniques for questions you pass over We take nice notes--and make studying a snap greater than Notes! CliffsAP? CliffsComplete? CliffsQuickReview? CliffsStudySolver CliffsTestPrep?

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Reciprocal Trigonometric Functions The three remaining trigonometric ratios are the reciprocals of the first three. You may think of them as the first three turned upside down, or what you must multiply the first three by in order to get a product of 1. The reciprocal of the sine is cosecant, abbreviated csc. Secant is the reciprocal of cosine and is abbreviated sec. Finally, cotangent, abbreviated cot, is the reciprocal of tangent. 30 CliffsStudySolver Trigonometry θ p a hy θ b n ote opposite side use c adjacent side (a) (b) Models for reciprocal trigonometric ratios.

That side is half the length of the hypotenuse, so the hypotenuse must be twice the length of that side, or 10 in. Finally, the side opposite the 60° angle (the other leg) is half the hypotenuse times the square root of three. 3. In triangle ABC, with right angle at B, the cosine of ∠A is 11 . What is the sine ∠C? 15 11 answer: 15 The cofunction identities tell us that in a given right triangle, the sine of one acute angle is the cosine of the other. Work Problems Use these problems to give yourself additional practice.

Answer: 3 opposite The tan ratio is adjacent . 3 3 cm is the length of the side opposite ∠β, and its 3 3 adjacent side is 3 cm. So, tan b = 3 = 3 . Reciprocal Trigonometric Functions The three remaining trigonometric ratios are the reciprocals of the first three. You may think of them as the first three turned upside down, or what you must multiply the first three by in order to get a product of 1. The reciprocal of the sine is cosecant, abbreviated csc. Secant is the reciprocal of cosine and is abbreviated sec.

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