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There two way to work this out. 1) Look on a ##csc## graph graph{csc x [-0.61 17.45 -4.79 4.24]} According to the graph ##csc0## is equal […]

On the trig unit circle: ##sin 120 = sin (180 – 60) = sin 60 = (sqrt3)/2##

for the true proof you need to use matrice but this is acceptable : ##sin(a+b) = sin(a)cos(b)+cos(a)sin(b)## ##sin(pi/2+x) = sin(pi/2)*cos(x)+cos(pi/2)*sin(x)## ##sin(pi/2) = 1## ##cos(pi/2) = 0 […]

Use the identity: cos (a + b) = cos a.cos b – sin a.sin b ##cos 2x = cos (x + x) = cos x.cos x […]

##-1## Basically when they say ##pi## they mean ##pi## radians. ##pi ## radians = ##180^@## So ##tan((3pi)/4)## = ##tan((3xx180^@)/4)## = ##tan((3xx45cancel(180)^@)/cancel(4))## = ##tan(3xx45^@)## = ##tan(135^@)## = […]

##x = 2npi and x = (4n+1)pi/2 n = 0 +-1 +-2 +-3. …## The given equation is equivalent to ##1/sqrt 2 sin x+ 1/sqrt 2 […]

Find the measure of each interior angle of a regular decagon

Prove the second case of the Congruent Supplements Theorem where two angles are supplementary to congruent angles. Given:

STUV is a trapezium where SV//TU