Question 1 : $\sin 2A = 2 \sin A$ is true when A is equal to

Question 2 : Is this equality correct ?$(cosec A – sin A) (sec A – cos A)= \frac{1}{tan A +cot A}$

Question 5 : Given $\tan A=\frac{4}{3}$, then what is the value of $\sec A$?

Question 6 : In $\Delta ABC$, right-angled at B, AB = 24 cm, BC = 7 cm. Determine $\sin A$ and $cos A$ respectively.

Question 7 : In $\Delta ACB$, right-angled at C, in which AB = 29 units, BC = 21 units and $\angle ABC = \theta$, find the value of $\cos^2\theta+sin^2\theta$

Question 8 : Is $\frac{cos A – sin A + 1}{cos A + sin A - 1}= cosecA + cotA$?

Question 9 : The value of $\sin \theta$ increases as $\theta$ increases. True or False?

Question 10 : sec A (1 – sin A)(sec A + tan A) = ____

Question 11 : If $\tan 2A = \cot \begin{pmatrix}A – 18^{\circ}\end{pmatrix}$, where 2A is an acute angle, find the value of A.

Question 12 : If A, B and C are interior angles of a triangle ABC, then $\sin\begin{pmatrix}\frac{B+C}{2}\end{pmatrix}\ne\cos\begin{pmatrix}\frac{A}{2}\end{pmatrix}$. TRUE or FALSE ?

Question 13 : In a right triangle ABC, right-angled at B, if $\tan A = 1$, is $2 sin A cos A \ne 1$ ?

Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bd9273b230584979a2c.PNG' /> In $\Delta OPQ$, right-angled at P, OP = 7 cm and OQ – PQ = 1 cm (see figure above). Determine the values of $\sin Q$ and $\cos Q$ respectively.

Question 17 : If $\cot \theta= \frac{7}{8}$, then find the value of $\cot^2 \theta$

Question 20 : If $3\cot A= 4$, then check whether $\frac{1-\tan^2 A}{1+\tan^2 A}=\cos^2 A-sin^2 A$ or not.

Question 21 : (sec A + tan A) (1 – sin A) = ______

Question 23 : Is $(sin A + cosec A)^2 + (cos A + sec A)^2 = 7 + tan^2 A + cot^2 A$?

Question 24 : $\tan 48^{\circ} \tan 23^{\circ} \tan 42^{\circ} \tan 67^{\circ} = 1$. TRUE or FALSE?

Question 25 : Can all the other trigonometric ratios of ∠ A be written in terms of sec A?

Question 26 : $\ sec A = \frac{12}{5}$ for some value of angle A. True or False?

Question 27 : Given $15 \cot A = 8$, find $\sin A$ and $\sec A$ respectively.

Question 31 : If $\angle B$ and $\angle Q$ are acute angles such that $\sin B = \sin Q$, then $\angle B = \angle Q$.True or False?

Question 32 : Can the trigonometric ratios sin A, sec A and tan A be expressed in terms of cot A?

Question 33 : In $\Delta ABC$, right-angled at B, AB = 24 cm, BC = 7 cm. Determine $\sin C$ and $cos C$ respectively.

Question 36 : Is $\frac{cot A - cos A}{cot A + cos A} = \frac{cosec A-1}{cosec A +1}$?

Question 37 : Given $\tan A=\frac{4}{3}$, then what is the value of $\sin A$?

Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bda273b230584979a2d.PNG' /> In the above figure, find $\tan P – \cot R$

Question 39 : If $\sin \begin{pmatrix}A – B\end{pmatrix} = \frac{1}{2}$, $\cos \begin{pmatrix}A + B\end{pmatrix} =\frac{1}{2}$, $0^{\circ}< A + B ≤ 90^{\circ}$, $A > B$, find A and B respectively.

Question 40 : Given $\sec \theta = \frac{13}{12}$ calculate $cosec\ \theta$ and $\cot \theta$ respectively.

Question 41 : Evaluate : $sin 25° cos 65° + cos 25° sin 65°$

Question 46 : $\sin \theta=\cos \theta$ for all values of $\theta$. True or False?

Question 47 : The value of $\cos \theta$ increases as $\theta$ increases. True or False?