Important Questions [13]
- Prove that Log [ Tan ( π 4 + I X 2 ) ] = I . Tan − 1 ( Sinh X )
- If Z = X 2 Tan − 1 Y X − Y 2 Tan − 1 X Y ∂ Prove that ∂ Z Z ∂ Y ∂ X = X 2 − Y 2 X 2 + Y 2
- Show that I Log ( X − I X + I ) = π − 2 Tan 6 − 1 X
- Prove that Log ( Sec X ) = 1 2 X 2 + 1 12 X 4 + ... ... ...
- Show that Sec H-1(Sin θ) =Log Cot ( θ 2 ).
- If Y = Log [ Tan ( π 4 + X 2 ) ] Prove that I. Tan H Y 2 = Tan π 2 Ii. Cos Hy Cos X = 1
- Considering Only Principal Values Separate into Real and Imaginary Parts I ( Log ) ( I + 1 )
- Find the Nth Derivative of Y=Eax Cos2 X Sin X.
- Obtain Tan 5𝜽 in Terms of Tan 𝜽 and Show that 1 − 10 Tan 2 X 10 + 5 Tan 4 X 10 = 0
- If Y=Etan_1x. Prove that ( 1 + X 2 ) Y N + 2 [ 2 ( N + 1 ) X − 1 ] Y N + 1 + N ( N + 1 ) Y N = 0
- Prove that Log ( a + I B a − I B ) = 2 I Tan − 1 B a and Cos [ I Log ( a + I B a − I B ) = a 2 − B 2 a 2 + B 2 ]
- Find Tanhx If 5sinhx-coshx = 5
- Separate into Real and Imaginary Parts of Cos − 1 ( 3 I 4 )
