TS EAMCET · Maths · Trigonometric Equations
Assertion : \(\cot \mathrm{h} x=\frac{1-k}{1+k}(0 < k < 2)\). Reason : The graph of y = tan h x always lies between the lines y = –1 and y = 1. The correct option among the following is
- A (A) is true, (R) is true and (R) is the correct explanation for (A)
- B (A) is true, (R) is true but (R) is not the correct explanation for (A)
- C (A) is true but (R) is false
- D (A) is false but (R) is true
Answer & Solution
Correct Answer
(D) (A) is false but (R) is true
Step-by-step Solution
Detailed explanation
Assertion : \(\operatorname{coth} \mathrm{x}=\frac{1-\mathrm{k}}{1+\mathrm{k}}\) \[ \Rightarrow \frac{\mathrm{e}^{\mathrm{x}}+\mathrm{e}^{-\mathrm{x}}}{\mathrm{e}^{\mathrm{x}}-\mathrm{e}^{-\mathrm{x}}}=\frac{1-\mathrm{k}}{1+\mathrm{k}} \] By C \& D…
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