Question

what are the all formulas of trignometry

Answer 1

it would be a good idea to review some important formulas from algebra and trigonometry before we get into serious stuff in calculus.

Expansion of Polynomials





Factorization of Polynomials




Trigonometric Identities



Sine Sum and Difference Formulas


\sin(\theta_1-\theta_2)=\sin\theta_1\cos\theta_2-\cos\theta_1\sin\theta_2
Sine Double Angle Formula \sin2\theta=2\sin\theta\cos\theta
Cosine Sum and Difference Formulas

\cos(\theta_1+\theta_2)=\cos\theta_1\cos\theta_2-\sin\theta_1\sin\theta_2
\cos(\theta_1-\theta_2)=\cos\theta_1\cos\theta_2+\sin\theta_1\sin\theta_2
Cosine Double Angle Formula \begin{eqnarray*}\cos2\theta&=&\cos^2\theta-\sin^2\theta\\&=&2\cos^2\theta-1\\&=&1-2\sin^2\theta\end{eqnarray*}
From this Cosine Double Angle Formula, we obtain Half Angle Formulas.

Half Angle Formulas

\cos^2\theta=\displaystyle\frac{1+\cos\theta}{2} or equivalently \cos\theta=\pm\sqrt{\displaystyle\frac{1+\cos\theta}{2}}
\sin^2\theta=\displaystyle\frac{1-\cos\theta}{2} or equivalently \sin\theta=\pm\sqrt{\displaystyle\frac{1-\cos\theta}{2}} hope you understand plz mark as brainliest if

Answer 2

sin theta= perpendicular/hypotenuses

cos theta= base/ hypotenuses

tan theta= perpendicular/ base