Question Text
Question 3 :
If $\sec 4A = cosec\ \begin{pmatrix}A – 20^{\circ}\end{pmatrix}$, where 4A is an acute angle, find the value of A.
Question 4 :
If $\tan 2A = \cot \begin{pmatrix}A – 18^{\circ}\end{pmatrix}$, where 2A is an acute angle, find the value of A.
Question 5 :
$\sin \theta=\cos \theta$ for all values of $\theta$. True or False?
Question 8 :
(1 + tan θ + sec θ) (1 + cot θ – cosec θ) = ____
Question 10 :
The value of $\cos \theta$ increases as $\theta$ increases. True or False?
Question 12 :
Is this equality correct ?$(cosec A – sin A) (sec A – cos A)= \frac{1}{tan A +cot A}$
Question 15 :
Can the trigonometric ratios sin A, sec A and tan A be expressed in terms of cot A?
Question 16 :
Is $\frac{cos A – sin A + 1}{cos A + sin A - 1}= cosecA + cotA$?
Question 17 :
The value of $\sin \theta$ increases as $\theta$ increases. True or False?
Question 20 :
Evaluate : $sin 25° cos 65° + cos 25° sin 65°$
Question 23 :
Is $(sin A + cosec A)^2 + (cos A + sec A)^2 = 7 + tan^2 A + cot^2 A$?
Question 24 :
$\sin 2A = 2 \sin A$ is true when A is equal to
Question 25 :
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 ?
