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Question

If tan A - tan B - tan C = tan A tan B tan C, what is the value of A in terms of B and C?

This question was previously asked in
SSC CGL 2022 Tier-II (Paper 2 JSO) Previous Year Paper (04-Mar-2023)
The correct answer is

A = B + C

Without additional constraints on the angles A, B, and C (such as being angles of a triangle or within a specific range), A = B + C is the solution that fits the structure of the options.

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Important Questions from Trigonometric Ratios

  1. If \(cosec~\theta =\frac{29}{21}\) where 0 < θ < 90°, then what is the value of 4 sec θ + 4 tan θ?

  2. The value of \(\cot \left( {cose{c^{ - 1}}\frac{5}{3} + {{\tan }^{ - 1}}\frac{2}{3}\;} \right)\)

  3. The distance of the highest point on the graph of the function y = √3 cos x + sin x from the x-axis is:

  4. If A = π / 6 and B = π / 3, then consider the following statements:

    I. sin A + sin B = cos A + cos B

    II. tan A + tan B = cot A + cot B

    Which of the above statements is / are correct?

  5. If \(\sin A = \frac{1}{{\sqrt 2 }}\) and \({\mathop{\rm Cos}\nolimits} B = \frac{{\sqrt 3 }}{2}\), then, find the value of (A + B)º.

    A. 60º 

    B. 75º 

    C. 105º 

    D. 90º 

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