The value of is equal to

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The value of sec⁡(2cot⁡−12+cos⁡−135)\sec\left(2\cot^{-1}2+\cos^{-1}\frac35\right) is equal to (1) 2524\frac{25}{24} (2) −247-\frac{24}{7} (3) 257\frac{25}{7} (4) −257-\frac{25}{7}

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