Question

please solve this problem class 10 chapter 8 introduction to trigonometry maths​

Answer 1

Step-by-step explanation:

$(7) \: \: \: \: \: \: tan(θ) = 2 - \sqrt{3} \\ now \: tan(θ) \times cot(θ) = 1 \\ cot(θ) = \frac{1}{tan(θ)} \\ cot(θ) = \frac{1}{2 - \sqrt{3} } \\ cot(θ) = \frac{1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2 + \sqrt{3}) }{(2 - \sqrt{3})(2 + \sqrt{3} ) } \\ cot(θ) = \frac{2 + \sqrt{3} }{ {2}^{2} - { (\sqrt{3}) }^{2} } \\ cot(θ) = \frac{2 + \sqrt{3} }{4 - 3} \\ cot(θ) = 2 + \sqrt{3} \\ (8) \: \: sec²(θ)+cosec²(θ)= \frac{1}{cos²(θ)} + \frac{1}{sin²(θ)} \\ = \frac{sin²(θ)+cos²(θ)}{sin²(θ) \times cos²(θ)} \\ = sec²(θ) \times cosec²(θ)$