`((tan^2 6 0^(@)+4sin^2 4 5^(@)+3sec^2 3 0^(@)+5cos^2 9 0^(@))/((c o s e c3 0^(@)+sec6 0^(@)-cot^2 3 0^(@))`

Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@)-(5sin90^@)/(2cos0^@)

sec^2(tan^(01)2)+cos e c^2(cot^(-1)3) is equal to 5 (b) 13 (c) 15 (d) 6

sec^2(tan^(01)2)+cos e c^2(cot^(-1)3) is equal to 5 (b) 13 (c) 15 (d) 6

sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is equal to (a)5 (b) 13 (c) 15 (d) 6

Without using trigonometric tables, evaluate each of the following: (sec^2 54^0-cot^2 36^0)/(cos e c^2 57^0-tan^2 33^0)+2sin^2 38^0sec^2 52^0-sin^2 45^0

Evaluate the following expressions: 4cot^(2)45o-sec^(2)60o+sin^(2)60o+cos^(2)90o .(ii) 3cos^(2)30o+sec^(2)30o+2cos0+3sin90o-tan^(2)600

Prove that (i) " tan"^(2) .(pi)/(3) + 2cos^(2) .(pi)/(4)+ 3 sec^(2).(pi)/(6)+ 4 cos^(2).(pi)/(2)=8 (ii) " sin ".(pi)/(6) " cos 0 + sin ".(pi)/(4) " cos " .(pi)(4) + " sin " .(pi)/(3) "cos " .(pi)/(6) =(7)/(4) (iii) " 4sin " (pi)/(6) " sin"^(2) (pi)/(3) + 3 " cos " .(pi)/(3) " tan ".(pi)/(4) = " cosec"^(2).(pi)/(2)=4

If cot theta =3/sqrt5 , 0^@ यदि cot theta =3/sqrt5 , 0^@< theta < 90^@ , तो (6sec^2 theta- 5/3 cosec^2 theta)/(3/5 sec^2 theta+4/3 cosec^2 theta) का मान ज्ञात करें ।