51. In ΔABC, right-angled at B, AB = 7 cm and AC - BC = 1 cm. Find the value of sinC.
52. The value of sin230°.cos245° + 2tan230° - sec260° is equal to:
53. If 3tanθ = 2√3sin, 0° < θ < 90°, then the value of $$\frac{{{\text{cose}}{{\text{c}}^2}2\theta + {{\cot }^2}2\theta }}{{{{\sin }^2}\theta + {{\tan }^2}\theta }}$$ is:
54. Using the measurements given in the following figure, the value of $$\frac{{\sin \phi + \tan \theta }}{{\sin \phi - \tan \theta }}$$ is . . . . . . . .
55. If cotθ = √7, then the value of $$\frac{{{\text{cose}}{{\text{c}}^2}\theta - {{\sec }^2}\theta }}{{{\text{cose}}{{\text{c}}^2}\theta + {{\sec }^2}\theta }}$$ is:
56. What is the value of (1 + cot2θ)(1 - cos2θ).
57. The value of sin264° + cos64°sin26° + 2cos43°cosec47° is:
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