Question Text
Question 2 :
Express $\sin 67^{\circ} + \cos 75^{\circ}$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ}$.
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 5 :
The value of $\cos \theta$ increases as $\theta$ increases. True or False?
Question 7 :
Can all the other trigonometric ratios of ∠ A be written in terms of sec A?
Question 11 :
Is $\frac{cos A – sin A + 1}{cos A + sin A - 1}= cosecA + cotA$?
Question 12 :
(sec A + tan A) (1 – sin A) = ______
Question 13 :
Is $(sin A + cosec A)^2 + (cos A + sec A)^2 = 7 + tan^2 A + cot^2 A$?
Question 17 :
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 18 :
$\cos 38^{\circ} \cos 52^{\circ} – \sin 38^{\circ} \sin 52^{\circ} \ne 0$. TRUE or FALSE?
