Question

Find the exact value of the following:
a) sin^2 (75^0) / sin45^0 cos^2 (30^0)

b) tan(135^0) + sin30^0 x cot120^0

Answer 1

\[a=[\sin(30+45)]/[\sin45\times \cos^230]\]
\[=[\sin30 \cos45 +\cos30 \sin45]^2/[\sin45\times \cos^230]\]
then just plug in the numbers
b
tan(135)=tan(90+45)\[=\sin(90+45)/\cos(90+45)\]
cot(120)=cot(90+30)
try to use this hint to find the answer