Convert from 1 sin(x) 1 sin (x) to csc(x) csc (x). Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

Express the ratios cos A, tan A and sec A in terms of sin A. Prove that sec A (1 – sin A)(sec A + tan A) = 1. Find the value of 7 sec 2 A – 7 tan 2 A. Show that (sin A + cosec A) 2 + (cos A + sec A) 2 = 7 + tan 2 A + cot 2 A; Using these identities, we can solve various mathematical problems.

Basic trig identities are formulas for angle sums, differences, products, and quotients; and they let you find exact values for trig expressions.

In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

Trigonometry mainly provides six functions for sine (sin), cosine (cos), and tangent (tan), also its reciprocal functions cosecant (csc), secant (sec), and cotangent (cot). These processes help in solving angle and distance related problems in both 2D and 3D surroundings.

Conventionally, an abbreviation of each trigonometric function's name is used as its symbol in formulas. Today, the most common versions of these abbreviations are "sin" for sine, "cos" for cosine, "tan" or "tg" for tangent, "sec" for secant, "csc" or …

In Trigonometry, different types of problems can be solved using trigonometry formulas. These problems may include trigonometric ratios (sin, cos, tan, sec, cosec and cot), Pythagorean identities, product identities, etc.

For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent. When we divide Sine by Cosine we get: So we can say: That is our first Trigonometric Identity.

sec(theta) = 1 / cos(theta) = c / b tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

`tan theta + 1/tan theta = sec theta cosec theta` Prove the following identities: `(sinAtanA)/(1 - cosA) = 1 + secA` Prove the following identities: `(1+ sin A)/(cosec A - cot A) - (1 - sin A)/(cosec A + cot A) = 2(1 + cot A)` Prove that: (1 + tan A . tan B) 2 + (tan A – tan B) 2 = sec 2 A sec 2 B `cosec theta (1+costheta)(cosectheta - cot ...