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Subjects
Mathematics State Board
Class 10
Trigonometry
Trigonometric Identities

2. Multiple choice questions II

Exercise condition:

4 m.

1. If \(sin \ \theta = cos \ \theta\), then \(2 tan^2 \ \theta + sin^2 \ \theta - 1\) is equal to

\(-\frac{3}{2}\)
\(\frac{3}{2}\)
\(\frac{2}{3}\)
\(-\frac{2}{3}\)

2. If \(x = a tan \ \theta\) and \(y = b sec \ \theta\) then

\(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 0\)
\(\frac{y^2}{b^2} - \frac{x^2}{a^2} = 1\)
\(\frac{y^2}{b^2} - \frac{x^2}{a^2} = 0\)
\(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\)

3. \((1 + tan \ \theta + sec \ \theta)(1 + cot \ \theta - cosec \ \theta)\) is equal to

\(-1\)
\(0\)
\(2\)
\(1\)

4. \(a \ cot \ \theta + b \ cosec \ \theta = p\) and \(b \ cot \ \theta + a \ cosec \ \theta = q\) then \(p^2 - q^2\) is equal to

\(a^2 - b^2\)
\(a^2 + b^2\)
\(b - a\)
\(b^2 - a^2\)

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