Question Text
Question 1 :
If $\tan 2A = \cot \begin{pmatrix}A – 18^{\circ}\end{pmatrix}$, where 2A is an acute angle, find the value of A.
Question 2 :
$\sin 2A = 2 \sin A$ is true when A is equal to
Question 6 :
The value of $\sin \theta$ increases as $\theta$ increases. True or False?
Question 8 :
$\cos 38^{\circ} \cos 52^{\circ} – \sin 38^{\circ} \sin 52^{\circ} \ne 0$. TRUE or FALSE?
Question 11 :
Is this equality correct ?$(cosec A – sin A) (sec A – cos A)= \frac{1}{tan A +cot A}$
Question 12 :
(1 + tan θ + sec θ) (1 + cot θ – cosec θ) = ____
Question 13 :
Can all the other trigonometric ratios of ∠ A be written in terms of sec A?
Question 14 :
(sec A + tan A) (1 – sin A) = ______
Question 18 :
Is $(sin A + cosec A)^2 + (cos A + sec A)^2 = 7 + tan^2 A + cot^2 A$?
Question 25 :
Is $\frac{cos A – sin A + 1}{cos A + sin A - 1}= cosecA + cotA$?
Question 26 :
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 28 :
Is this equality correct ? $\frac{tan A}{1- cotA} + \frac{cotA}{1-tanA}= 1+ secAcosecA$
Question 29 :
Evaluate : $sin 25° cos 65° + cos 25° sin 65°$