Express each of the following in terms of T-ratios of angles lying between 0° and 45°:

sin 67° + cos 75°

cosec (65° + θ) — sec (25° —θ) — tan (55° — θ) + cot (35° + θ) =0

sin (50° +θ) — cos (40° — θ) + tan 1°tan 10°tan 80°tan 89° =1

Express each of the following in terms of T-ratios of angles lying between 0° and 45°:
cot 65° + tan 49°

Express each of the following in terms of T-ratios of angles lying between 0° and 45°:
sec 78° + cosec 56°