Q8 of 54 Page 312

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

Consider cot 65° + tan 49° = cot (90-25)° + tan (90-41)°

= tan 25° + cot 41°


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7

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

 8

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

sin 67° + cos 75°

 8

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

 8

Express each of the following in terms of T-ratios of angles lying between 0° and 45°:
cosec 54° + sin 72°