CBSE Class 10 Mathematics Trigonometry Assignment Set 13

Write True (T) or False against the following statements.

Question. In any triangle ABC, \( \sin A = \frac{12}{5} \) for some angle A
Answer: False

Question. In any triangle ABC, the value of \( \tan \theta \) is always greater than one.
Answer: False

Question. \( \sin A \) means \( \sin \times A \)
Answer: False

Question. \( \cot A \) can be written as \( \frac{\sqrt{1 - \sin^2 A}}{\sqrt{1 - \cos^2 A}} \)
Answer: True

Question. \( \cos A \) is the reciprocal of \( \operatorname{cosec} A \)
Answer: False

Question. \( \tan A \) can be expressed as \( \frac{\sin A}{\cos A} \)
Answer: True

Question. From the adjoining figure, \( \sin \theta = \frac{4}{5} \) and \( \cos \theta = \frac{3}{5} \)

Answer: False

Question. \( \cos(A - B) = \cos A - \cos B \)
Answer: False

Question. The value of \( \cos \theta \) increases as \( \theta \) increase
Answer: False

Question. The value of \( \tan \theta \) remains constant as \( \theta \) decreases from \( 90^\circ \) to \( 0^\circ \)
Answer: False

Question. \( \sin \theta = \cos \theta \) is true for \( \theta = 45^\circ \)
Answer: True

Question. \( \operatorname{cosec} A \) is not defined for \( A = 0^\circ \)
Answer: True

Question. \( \sec^2 \theta = 1 - \tan^2 \theta \)
Answer: False

Question. \( \frac{\sin(30^\circ - \theta)}{\cos(60^\circ + \theta)} \neq 1 \)
Answer: False

Question. \( 4(\sin^2 30^\circ + \cos^2 30^\circ) - 3(\sec^2 60^\circ - \tan^2 60^\circ) = 1 \)
Answer: True