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First we should define supplementary angles. Supplementary angles are angles that add up to 180 degrees. Since 1 and 2 are supplementary and we know their […]

Zero Here’s an image of a hexagonal pyramid. I can’t find any rectangular faces.

Find 6 trig functions of 225 deg ##sin 225 = sin (45 + 180) = – sin 45 = -sqrt2/2## ##cos 225 = cos (45 + […]

The reciprocal functions are as follows: ##sin(a) * csc(a) = 1## ##cos(a) * sec(a) = 1## ##tan(a) * cot(a) = 1##

Verify trig expression. Develop left side numerator: ##(1 + cos x)^2 – (1 – cos x)^2 = 4cos x## Develop left side denominator: ##(1 – cos […]

Trig unit circle gives: ##sin (330) = sin (360 – 30) = -sin 30 = -1/2## (trig table) ##cos (330) = cos (360 – 30) = […]

##cosx/(1-tanx) + sinx/(1-cotx)=sinx+cosx## ##cosx/(1-tanx) + sinx/(1-cotx) = cosx/(1-sinx/cosx) +sinx/(1-cosx/sinx)## ##= cosx/(1-sinx/cosx) +sinx/(1-cosx/sinx)## ##= cosx/((cosx-sinx)/cosx) +sinx/((sinx-cosx)/sinx)## ##= cos^2x/(cosx-sinx) +sin^2x/(sinx-cosx)## ##= cos^2x/(cosx-sinx) -sin^2x/(cosx-sinx)## ##= (cos^2x-sin^2x)/(cosx-sinx)## ##= [(cosx+sinx)cancel(cosx-sinx)]/cancel(cosx-sinx)## ##=sinx+cosx##

see below ##tanA=secA/cscA## Right Side:##=secA/cscA## ##=(1/cosA)/(1/sinA)## ##=1/cosA*sinA/1## ##=sinA/cosA## ##=tanA## ##:.=##Left Side

Convert to sine and cosine … ##tan(pi/6)=sin(pi/6)/cos(pi/6)=(1/2)/(sqrt3/2)=1/sqrt3=sqrt3/3## hope that helped