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, …

Mar 7, 2025 · ⇒ 1 + cot2 θ = cosec2 θ. These identities define tangent and cotangent in terms of sine and cosine: Complementary identities (also known as co-function identities) show how the function of …

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 …

Evaluate (1 + cos θ) / (1 - cos θ). Cos θ or cosine θ represents an acute angle in a right angled triangle and is described as adjacent / hypotenuse Solution: To evaluate: (1 + cos θ) / (1 - cos θ) We can …

What is the general solution for 1-cos (θ)=sin (θ) ?

Jul 23, 2025 · Below is the list of trigonometric ratios, including sine, cosine, secant, cosecant, tangent, and cotangent. For a unit circle, for which the radius is equal to 1, θ is the angle. The values of the …

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Jul 5, 2020 · Solution, 1+cosΘ can be written as = 1 + cos2 (Θ/2). We know that 1 + cos2Θ = 1 - (cos²Θ-sin²Θ) Similarly, ⇒ 1 + cos2 (Θ/2)= 1- (cos² (Θ/2)-sin² (Θ/2) Opening the brackets and changing the …

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Note that the three identities above all involve squaring and the number 1. You can see the Pythagorean-Thereom relationship clearly if you consider the unit circle, where the angle is t, the …