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Trigonometry
A. State the Pythagorean Theorem in 3 to 4 sentences.
Trigonometry
Problem C
Determine the numerical value of the following expression without the use of a calculator:
problem is found on the website below
https://iymc.info/docs/IYMC_Qualification_Round_2020.pdf
Trigonometry
4. Find the exact value of tan(sin-1(-1/2))
Trigonometry
Find the exact value of tan (sin-1(-1/2))
Trigonometry
1. Prove that ( 1 - cos2 x ) cosec2 x = 1 .
2. Prove that (tan x sin x ) + cos x = sec x .
3. Prove that Tan4 x + Tan2 x = sec4 x - sec2 x .
4. prove that Cot x + Tan x = sec x cosec x.
5. Prove that (1 + sin x) (1 - sin x) = (sec x - Tan x)2 .
Trigonometry
Solve the equation for all x 0<x<360
Cos(2x) + ½sin(x) = 0
Trigonometry
1. Prove that ( 1 - cos2 x ) cosec2 x = 1 .
2. Prove that (tan x sin x ) + cos x = sec x .
3. Prove that Tan^4 x + Tan^2 x = sec^4 x - sec^2 x .
4. prove that Cot x + Tan x = sec x cosec x.
5. Prove that (1 + sin x) (1 - sin x) = (sec x - Tan x)2 .
2. Prove that (tan x sin x ) + cos x = sec x .
3. Prove that Tan^4 x + Tan^2 x = sec^4 x - sec^2 x .
4. prove that Cot x + Tan x = sec x cosec x.
5. Prove that (1 + sin x) (1 - sin x) = (sec x - Tan x)2 .
Trigonometry
sin(x)=1/2; -pi/2<x<pi/2; find the x
Trigonometry
Prove that the inequality | cos(x)| ≥ 1 − sin2(x) holds true for all x ∈ R.
Trigonometry
sin 60 cos30 cos60 sin30 sin30 o o o o o
