JEE NCERT Solutions (Mathematics)
- 3D Geometry
- Adjoint And Inverse Of A Matrix
- Angle Measurement
- Applications Of Derivatives
- Binomial Theorem
- Circles
- Complex Numbers
- Definite And Indefinite Integration
- Determinants
- Differential Equations
- Differentiation
- Differentiation And Integration Of Determinants
- Ellipse
- Functions And Its Types
- Hyperbola
- Integration
- Inverse Trigonometric Functions
- Limits Continuity And Differentiability
- Logarithm
- Matrices
- Matrix Operations
- Minors And Cofactors
- Properties Of Determinants
- Rank Of A Matrix
- Solving Linear Equations Using Matrix
- Standard Determinants
- Straight Lines
- System Of Linear Equations Using Determinants
- Trigonometry
- Types Of Matrices
Trigonometry
Trigonometry is an important branch of Mathematics that deals with the study of triangles and its measurements. In this article, we will explore topics such as trigonometric ratios, graphs of trigonometric functions, identities, maximum and minimum values, main formulas and much more.
Trigonometric Ratios
(\begin{array}{l}\frac{opp}{hyp} = \sin \theta = \frac{AB}{AC}\end{array} )
(\begin{array}{l}\frac{BC}{AC}=\cos \theta =\frac{adj}{hyp}\end{array} )
(\tan\ \theta = \frac{opp}{adj} = \frac{AB}{BC})
\(\cot\theta = \frac{BC}{AB}\)
(\sec\theta = \frac{BC}{AC})
(\begin{array}{l} \cos \theta = \frac{AC}{AB} \end{array})
Trigonometric Circular Functions
Trigonometric Circular Functions
(\begin{array}{l}AOP = \frac{arcAP}{r} = \frac{l}{r}\end{array})
cos θ = x
sin θ = y
(\tan\theta=\frac{x}{y})
Graphs of T Ratios
Sine
y = sin(x)
Domain R
Range (-1, 1)
Cosine
y = \cos{x}
Tangent
y = \tan{x}
Co-Tangent
y = cot(x)
Secant
$$y = \sec x$$
(\begin{array}{l}Domain:,,,,,R-\left{ x,\in,R,\mid,(2x+1),\frac{\pi }{2} \right}\end{array} )
