Express the following in terms of trigonometric ratios of angles between 0° to 45° :
cot 49° + cosec 87°.
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Solving,
⇒ cot 49° + cosec 87°
⇒ cot (90° - 41°) + cosec (90° - 3°)
As, cot(90° - θ) = tan θ, cosec(90° - θ) = sec θ
⇒ tan 41° + sec 3°.
Hence, cot 49° + cosec 87° = tan 41° + sec 3°.
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tan 81° + cos 72°
Without using trigonometric tables, prove that:
sin2 28° - cos2 62° = 0
cos2 25° + cos2 65° = 1