Welcome back to our blog if you are searching for the trigonometry formula class 11 pdf then you have come to the right website.

In this article, we add all trigonometry formulas for students in class 11 these formulas can help all the students to solve all kinds of trigonometry equations.

Sometimes students search the internet to remember these trigonometry formulas which helps every student at exam time.

Now let's take a look at these trigonometry all formulas.

### Class 11 maths chapter 3 all formulas pdf

#### Trigonometric Ratios:

Sine (sin) of an angle θ: sin(θ) = Opposite side / Hypotenuse

Cosine (cos) of an angle θ: cos(θ) = Adjacent side / Hypotenuse

Tangent (tan) of an angle θ: tan(θ) = Opposite side / Adjacent side

Cosecant (csc) of θ: csc(θ) = 1 / sin(θ)

Secant (sec) of θ: sec(θ) = 1 / cos(θ)

Cotangent (cot) of θ: cot(θ) = 1 / tan(θ)

## trigonometry formula class 11 pdf

Let's check out all the basic trigonometric formulas :

• Basic Trigonometric Ratios:

Sine (sin) of an angle θ: sin(θ) = Opposite side / Hypotenuse

Cosine (cos) of an angle θ: cos(θ) = Adjacent side / Hypotenuse

Tangent (tan) of an angle θ: tan(θ) = Opposite side / Adjacent side

• Reciprocal Trigonometric Ratios:

Cosecant (csc) of θ: csc(θ) = 1 / sin(θ)

Secant (sec) of θ: sec(θ) = 1 / cos(θ)

Cotangent (cot) of θ: cot(θ) = 1 / tan(θ)

• Pythagorean Trigonometric Identity:

sin²(θ) + cos²(θ) = 1

1 + tan²(θ) = sec²(θ)

1 + cot²(θ) = csc²(θ)

• Co-function Trigonometric Identities:

sin(π/2 - θ) = cos(θ)

cos(π/2 - θ) = sin(θ)

tan(π/2 - θ) = 1 / tan(θ)

• Trigonometric Identities for Sum and Difference of Angles:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

• Double Angle Formulas:

sin(2θ) = 2sin(θ)cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2cos²(θ) - 1 = 1 - 2sin²(θ)

• Half Angle Formulas:

sin(θ/2) = ±√[(1 - cos(θ))/2]

cos(θ/2) = ±√[(1 + cos(θ))/2]

tan(θ/2) = ±√[(1 - cos(θ))/(1 + cos(θ))]

• Trigonometric Identities for Product to Sum:

sin(A)sin(B) = (1/2)[cos(A-B) - cos(A+B)]

cos(A)cos(B) = (1/2)[cos(A-B) + cos(A+B)]

sin(A)cos(B) = (1/2)[sin(A-B) + sin(A+B)]

• Trigonometric Equations:

sin(θ) = 0 when θ = nπ, where n is an integer.

cos(θ) = 0 when θ = (2n + 1)π/2, where n is an integer.

tan(θ) = 0 when θ = nπ, where n is an integer.

#### Conclusion

Here in this post, we add all related information about trigonometry formula class 11 PDF if you are a class 11th student and try to find the trigonometry formulas then you can check out this post till the end.