Trigonometric Equation Formula

We will discuss about the trigonometric equation formula. We need to use the formula to find the general solution or some particular solution of different types of trigonometric equation.

1. If sin θ = 0 then θ = nπ, where n = zero or any integer.

2. If sin θ = sin ∝ then θ = nπ + (-1)\(^{n}\) ∝, where n = zero or any integer.

3. If sin θ = 1 then θ = (4n + 1)\(\frac{π}{2}\), where n = zero or any integer.

4. If sin θ = -1 then θ = (4n - 1)\(\frac{π}{2}\), where n = zero or any integer.

5. If cos θ = 0 then θ = (2n + 1)\(\frac{π}{2}\), where n = zero or any integer.

6. If cos θ = cos ∝ then θ = 2nπ ± ∝, where n = zero or any integer.





7. If cos θ = 1 then θ = 2nπ, where n = zero or any integer.

8. If cos θ = -1 then θ = (2n + 1)π, where n = zero or any integer.

9. If tan θ = 0 then θ = nπ, where n = zero or any integer.

10. If tan θ = tan ∝ than θ = nπ + ∝, where n = zero or any integer.

11. If sin\(^{2}\) θ = sin\(^{2}\) ∝ then θ = nπ ± ∝, where n = zero or any integer.

12. If cos\(^{2}\) θ = cos\(^{2}\) ∝ then θ = nπ ± ∝, where n = zero or any integer.

13. If tan\(^{2}\) θ = tan\(^{2}\) ∝ than θ = nπ ± ∝, where n = zero or any integer.

14. If a cos θ + b sin θ = c then θ  = 2nπ + ∝ ±  β, where cos β = \(\frac{c}{\sqrt{a^{2}  +  b^{2}}}\), cos ∝ = \(\frac{a}{\sqrt{a^{2}  +  b^{2}}}\) and sin ∝ = \(\frac{b}{\sqrt{a^{2}  +  b^{2}}}\), where n = zero or any integer.

● Trigonometric Equations











11 and 12 Grade Math

From Trigonometric Equation Formula to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.