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Solve sec2 45 + cot2 135.

The given expression is sec2 45 + cot2 135.\(\begin{array}{l}=\sec ^{2} 45^{\circ}+\cot ^{2}\left(180-45^{\circ}\right) \\ =\sec ^{2} 45+\left(-\cot \left(45^{\circ}\right)\right)^{2} \\ =\sec ^{2}... View Article

The value of sin-1 [cos (53π / 5)] is

The given expression is sin-1 [cos (53π / 5)].\(\begin{array}{l}=\sin ^{-1}\left(\cos \frac{50 \pi+3 \pi}{5}\right) \\ =\sin ^{-1}\left(\cos \left(\frac{50 \pi}{5}+\frac{3 \pi}{5}\right)\right) \\... View Article