`tan^2 45/(1+tan^2 45)`

Evaluate the following: cos^2 30o+cos^2 45o+cos^2 60o+cos^2 90o (ii) tan^2 30o+tan^2 60o+tan^2 45o

Prove that (1+ tan 1^@ ) (1+ tan 2^@ )...(1+ tan 45º )= 2^23

Prove that (1+ tan 1^@ ) (1+ tan 2^@ )...(1+ tan 45^@ )= 2^23

Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^o) (ii) (sin30^o-sin90^o + 2cos0^o)/(tan30^otan60^o)

prove (1 + tan^2A) / (1 + cot^2A) = [(1 - tan A) / (1 - cotA)] ^2 = tan^2A

Show that: 2(cos^2 45°+tan^2 60°)-6(sin^2 45°-tan^2 30°)=6 (ii) 2(cos^4 60°+sin^4 30°)-(tan^2 60°+cot^2 45°)+3sec^2 30°=1/4

Find the value of : tan^(2)30^(@)+tan^(2)45^(@)+tan^(2)60^(@)

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 45o)+5cos^2 45o (ii) (cos e c^2 45osec^2 30o)(sin^2 30o+4cot^2 45o-sec^2 60o)

theta = tan^(-1) (2 tan^(2) theta) - tan^(-1) ((1)/(3) tan theta) " then " tan theta=