81. If sinA = $$\frac{4}{5}$$ and sinB = $$\frac{{15}}{{17}},$$ what is the value of sin(A - B)?
82. If 0° < θ < 90° and cos2θ = 3(cot2θ - cos2θ) then the value of $${\left( {\frac{1}{2}\sec \theta + \sin \theta } \right)^{ - 1}}$$ is:
83. The value of $$\frac{{\sin A}}{{\cot A + {\text{cosec}}\,A}} - \frac{{\sin A}}{{\cot A - {\text{cosec}}\,A}} - 1{\text{ is:}}$$
84. The value of sin238° + sin252° + sin230° - tan245° is equal to:
85. If secθ + tanθ = p, (p > 1) then $$\frac{{{\text{cosec}}\,\theta + 1}}{{{\text{cosec}}\,\theta - 1}} = ?$$
86. If 1 + cot2θ = $$\frac{{625}}{{49}}$$ and θ is acute, then what is the value of $${\left( {\sin \theta + \cos \theta } \right)^{\frac{1}{2}}}?$$
87. What is the value of cosec(65° + θ) - sec(25° - θ) + tan220° - cosec270°?
88. The value of $$\frac{{2\left( {{{\sin }^6}\theta + {{\cos }^6}\theta } \right) - 3\left( {{{\sin }^4}\theta + {{\cos }^4}\theta } \right)}}{{{{\cos }^4}\theta - {{\sin }^4}\theta - 2{{\cos }^2}\theta }}{\text{ is:}}$$
89. The value of $$\frac{{{{\sec }^2}\theta }}{{{\text{cose}}{{\text{c}}^2}\theta }} + \frac{{{\text{cose}}{{\text{c}}^2}\theta }}{{{{\sec }^2}\theta }} - \left( {{{\sec }^2}\theta + {\text{cose}}{{\text{c}}^2}\theta } \right){\text{is:}}$$
90. If (2cosA + 1)(2cosA - 1) = 0, 0° < A ≤ 90°, then find the value of A.
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