66.
If sin 3A = cos(A - 26°), where 3A is an acute angle then the value of A is?

67.
If sin(θ + 18°) = cos60° (0° < θ < 90°), then the value of cos 5θ is?

68.
If θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value of θ in degrees is?

69.
The value of the following is : $$\frac{{{{\left( {\tan {{20}^ \circ }} \right)}^2}}}{{{{\left( {{\text{cosec 7}}{0^ \circ }} \right)}^2}}}$$   $$ + $$ $$\frac{{{{\left( {\cot {{20}^ \circ }} \right)}^2}}}{{{{\left( {{\text{sec 7}}{0^ \circ }} \right)}^2}}}$$   $$ + $$ $$2\tan {15^ \circ }$$ . $$\tan {45^ \circ }$$ . $$\tan {75^ \circ }$$

70.
The value of the following is : $${\left( {\frac{{{\text{sin 4}}{{\text{7}}^ \circ }}}{{\cos {{43}^ \circ }}}} \right)^2}$$   + $${\left( {\frac{{\cos {{43}^ \circ }}}{{{\text{sin }}{{47}^ \circ }}}} \right)^2}$$   - $$4{\text{co}}{{\text{s}}^2}{45^ \circ }$$   = ?

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