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101. If sin 3θ = cos (θ - 6°), where 3θ and (θ - 6°) are acute angles. Find the value of θ.

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102. If sin (θ +24°) = cos θ, where θ and (θ + 24°) is an acute angle. Find the value of θ.

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103. If cos (2θ + 54°) = sin 4θ, where (2θ + 54°) and 4θ is an acute angle. Find the value of θ.

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104. If cos 2θ = sin θ, where 2θ and 4θ are acute angles. Find the value of θ.

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105. If sin 4θ = cos (θ - 10°), where 4θ and (θ -10°) are acute angles. Find the value of θ.

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106. If sin θ = cos (θ - 45°), where θ and (θ - 45°) are acute angles. Find the value of θ.

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107. If tan 2θ - cot (θ + 6°), where 2θ and θ + 6° are acute angles. Find the value of θ.

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108. If sin 5θ = cos 4θ, where 5θ and 4θ are acute angles. Find the value of θ.

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109. If tan 5θ = cot 4θ, where 5θ and 4θ are acute angles. Find the value of θ.

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110. Express the following in terms of trigonometric ratios of angles lying between 0° and 45°
cosec 54° + sin 72°

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