The product relation of a trigonometric function with another trigonometric function is called product identity.

Every trigonometric function has a special relation with another trigonometric function in product form. So, the six trigonometric ratios form three product trigonometric identities and they are used as formulas in trigonometry.

The product of sin and cosecant functions at an angle of a right triangle is equal to one.

$\sin{\theta}\csc{\theta} \,=\, 1$

The product of cos and secant functions at an angle of a right triangle is equal to one.

$\cos{\theta}\sec{\theta} \,=\, 1$

The product of tan and cot functions at an angle of a right triangle is equal to one.

$\tan{\theta}\cot{\theta} \,=\, 1$

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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