Trigonometric Functions

Introduction to Trigonometry

363

Basic Understanding of Trignometry Application

172

Introduction to Angles

172

Positive/Negative Angles

197

Systems for Measuring Angles: Sexagesimal Angles

515

Converting Angles in Degree to Minutes and Seconds

420

Solution

127

Solution

235

Systems for Measuring Angles: Centismal Angles

194

Circular System

263

Conversion between Degree and Radian

235

Parts of Circle

151

Solution

176

Solution

205

Solution

102

Solution

301

Solution

202

Solution

226

Solution

126

History of Trigonometric Functions

366

Relation between the Trigonometric Ratios

294

Trigonometric Ratios in a Right Angled Triangle

256

Trigonometric Ratios of Special Angles

390

Trigonometric Identities in a Right Angled Triangle

256

Reciprocal Relationship for sec x, tan x and cosec x and cot x

193

Trigonometric Ratios on a Unit Circle

359

Sine and Cosine for Quadrantal Angles

235

Values of Trigonometric Ratios for Quadrantal Angles

89

sin Θ=0; cos Θ=0

56

Representation of Trigonometric Functions in terms of other Trigonometric Functions

335

Solution

198

Solution

189

Solution

137

Allied Angles

295

Trigonometric Ratios for Allied Angles of the form nπ±θ

496

Trigonometric Ratios for Allied Angles of the form (2n+1)π/2±θ

485

Relation between θ and -θ

404

Practice: Trigonometric Functions of Allied Angles

122

Solution

614

Solution

118

Solution

952

Introduction to Transformation of Graphs

99

Vertical Shifting of Graphs

250

Vertical Shifting of Graphs of Trigonometric Functions

268

Solution

346

Graph of Sine Function in (0, 2π)

262

Graph of Sine Function in R

310

Features of Graph of Sine Function

265

Solution

588

Graph of Cosine Function in (0, 2π)

154

Graph of cosine Function in R

287

Features of Graph of Cosine Function

238

Graph of Sine and Cosine Function

231

Graph of Tangent Function

262

Graph of tan function for R

296

Features of Graph of Tangent Function

220

Solution

705

Graph of Cotangent Function

362

Features of Cotangent Graph

105

Graph of Cosecant Function

393

Features of Graph of Cosecant Function

161

Graph of Secant Function

292

Features of Graph of Secant Function

191

Solution

417

Solution

687

Solution

381

Solution

247

Solution

181

Solution

438

Solution

504

Transformation Formulae: Product to Sum/Difference for 2sinAcosB

347

Transformation Formulae: Product to Sum/Difference for 2sinAsinB and 2cosAcosB

201

Practice: Transformation Formulae on Product to Sum/Difference

53

Solution

297

Transformation Formulae: Sum/Difference to Product for 2sinAcosB

338

Solution

81

Trigonometric Ratios of Multiple Angles of the Form sin 3A

509

Trigonometric Ratios of Multiple Angles of the Form cos 3A

251

Solution

661

Solution

451

Trigonometric Ratios of Multiple Angles of the Form tan 3A

297

Trigonometric Ratios of Submultiple Angles of the Form sin A/3, cos A/3, tan A/3

231

"""Range of Trigonometric Expressions a sin θ"""

432

"""Range of Trigonometric Expressions b cos θ"""

278

"Range of trigonometric Expressions of the form a sin x+b cos x" Q1

538

"Range of Trigonometric Expressions c tan θ"

256

Solution

557

sinxsin(60-x)sin(60+x), cosxcos(60-x)cos(60+x), tanθtan(60-x)tan(60+x) Q1

167

Solution

416

sin(A+B+C) Q1

161

Solution

278

tan(s1+s2+s3....) Q1

677

Trigonometric Ratios of Multiple Angles

291

Corollaries Related to Trigonometric Ratios of Multiple Angles

134

Conditional Identities Q1

215

Solution

721

Practice: Conditional Identities Q1

58

Sum of Sines of n Angles in A.P. Q2

867

Sum of Sines of n Angles in A.P. Q1

130

Solution

329

Solution

543

cot A + tan A; cot A - tan A Q3

19

Solution

205

Trigonometric Ratios of Submultiple Angles

460

Important Formulaes on Trigonomteric Functions of Submultiple Angles

258

Practice: Trigonometric Ratios of Submultiple Angles

178

Solution

567

Solution

27

Sum of Cosines of n Angles in A.P. Q2

624

Solution

228

Solution

222

Solution

115

Solution

495

Solution

119

Horizontal Shifting of Graphs of Trigonometric Functions

306

Solution

157

Vertical Stretch of Graphs of Trigonometric Functions

397

Vertical Stretch of Graphs of Trigonometric Functions

183

Horizontal Stretch/Shrink of Graphs of Trigonometric Functions

371

Vertical Flip Transformation of Graphs of Trigonometric Functions

318

Horizontal Flip Transformation of Graphs of Trigonometric Functions

208

Solution

179

Transformation of Graphs of Trigonometric Functions using Modulus Operator

298

Graph of f(|x|)

310

Periodicity of Trigonometric Functions

761

Solution

99

Trigonometric Ratios of Compound Angle: Cosine

388

Solution

484

Sine of Compound Angles

259

Solution

483

Compound Angles: Tangent of Sum of Two Angles

396

Compound Angles: Tangent of Difference of Two Angles

133

Compound Angles: Cotangent of Sum of Two Angles

226

Compound Angles: Cotangent of Difference of Two Angles

257

Solution

423

Sine of Compound Angles

196

Trigonometric Ratios of Compound Angle: Cosine

143

sinxsin(60-x)sin(60+x), cosxcos(60-x)cos(60+x), tanθtan(60-x)tan(60+x) Q1

230

sinxsin(60-x)sin(60+x), cosxcos(60-x)cos(60+x), tanθtan(60-x)tan(60+x) Q1

281

sinxsin(60-x)sin(60+x), cosxcos(60-x)cos(60+x), tanθtan(60-x)tan(60+x) Q1

321

Trigonometric Ratios in First and Second Quadrant

216

Trigonometric Ratios in Third and Fourth Quadrant

270

Horizontal Shifting of Graphs of Trigonometric Functions

290

Product of Cosines of n Angles in G.P.

543