What is the identity of the given equation ? cot(x−π2)=−tanx Trigonometric Identities: First we have to understand the some trigonometric identities to solve this problem: Identities expressing trigonometric functions in terms of their complements that are defined as: s...
Use trigonometric identities to write the expression in terms of a single trigonometric identity or a constant. 1/(1 - sin x) + 1/(1 + sin x). Verify the trigonometric identity: \frac{\cos \ 2x}{1+ \sin \ 2x}=\frac{\cos \ x - \sin \ x}{\cos \ x + \sin \x} Verify t...
What is an identity? In mathematics, an "identity" is an equation which is always true, regardless of the specific value of a given variable. An identity can be "trivially" true, such as the equationx=xor an identity can be usefully true, such as the Pythagorean Theorem'sa2+ b2= c2 ...
To be able to define an inverse sine function, we limit the domain of the sine function to the closed interval {eq}[-\pi/2,\pi/2]. {/eq} On this closed interval, the sine function is one-to-one and an inverse function, usually d...
what’s the area of the triangle Dyani attempts to find the area of ABC. What is her error? Find the correct area. Round to the nearest square centimeter.side b= 12cm, side a= 14cm, angle C= 65° area= 1/2(AB)(BC)tan C area= 1/2(14)((12) tan 65° ≈180cm^2...
Furthermore, the identity function id::D→D is trivially a homomorphism. The function eval var is a homomorphism for any choice of var. In fact, it is the unique homomorphism h such that h(Varv)=varv. From this uniqueness property follow two useful properties: Property 1 Fusion The fusion...
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what’s the area of the triangle Dyani attempts to find the area of ABC. What is her error? Find the correct area. Round to the nearest square centimeter.side b= 12cm, side a= 14cm, angle C= 65° area= 1/2(AB)(BC)tan C area= 1/2(14)((12) tan 65° ≈180cm^2...
Evaluate the sine, cosine, and tangent of the angle without using a calculator. -150 degrees Evaluate the sine, cosine, and tangent of the angle without using a calculator. 495 degrees Find the exact value of cos(67.5 degrees) using the half-angle identity for cosine. What is the cosine ...
What is cos(15 degrees)? The Sum and Difference of Two Angles Identity for Trigonometric Functions: It is easier to determine the value of trigonometric functions of certain angles if the angles are from the special right triangles which are {eq}45^\circ-45^\circ-90^\circ {/eq} and {eq...