Question

Choose the correct alternative answer for the following questions.

(1) sin$\mathrm{\theta }$ cosec$\mathrm{\theta }$ = ?

(A) 1

(B) 0

(C) $\frac{1}{2}$

(D) $\sqrt{2}$

(2) cosec 45^° =?

(A) $\frac{1}{2}$

(B) $\sqrt{2}$

(C) $\frac{\sqrt{3}}{2}$

(D)$\frac{2}{\sqrt{3}}$

(3) 1 + tan² $\mathrm{\theta }$ = ?

(A) cot² $\mathrm{\theta }$
(B) cosec² $\mathrm{\theta }$
(C) sec² $\mathrm{\theta }$
(D) tan² $\mathrm{\theta }$

(4) When we see at a higher level , from the horizontal line,angle formed is ....... .

(A) angle of elevation.
(B) angle of depression.
(C) 0
(D) straight angle.

Answer 1

(1)
$$\begin{gathered} \sin \theta \mathrm{cosec}\theta \\ =\sin \theta \times \frac{1}{\sin \theta } \\ =1 \end{gathered}$$
Hence, the correct answer is option (A).

(2)
$\mathrm{cosec}45°=\sqrt{2}$

Hence, the correct answer is option (B).

(3)
$1+{\tan }^2\theta ={\sec }^2\theta$

Hence, the correct answer is option (C).

(4)
When we see at a higher level, from the horizontal line, angle formed is angle of elevation.



Hence, the correct answer is option (A).