Sign in
ui-button
ui-button
Topics
General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature
Elementary Mathematics
Trigonometric ratio
If \( \Large y = \sin^{2} \theta + cosec^{2} \theta \), \( \Large \theta \ne 0 \), then
A) \( \Large y = 0 \)
B) \( \Large y \le 2 \)
C) \( \Large y \ge -2 \)
D) \( \Large y > 2 \)
Correct Answer:
D) \( \Large y > 2 \)
Part of solved Trigonometric ratio questions and answers :
>> Elementary Mathematics
>> Trigonometric ratio
Login to Bookmark
Previous Question
Next Question
Report Error
Add Bookmark
View My Bookmarks
Report error with gmail
Hide
Comments
No comments available
Login to post comment
Similar Questions
1). If \( \alpha \) is a root of \( \Large 25 \cos^{2} \theta + 5 \cos \theta - 12 = 0,\) \( \Large \frac{\pi}{2} < \alpha < \pi \), then \( \Large sin 2\alpha \) is equal to
A). \( \Large \frac{24}{25} \)
B). \( \Large -\frac{24}{25} \)
C). \( \Large \frac{13}{18} \)
D). \( \Large -\frac{13}{18} \)
-- View Answer
2). The value of \( \Large \cos \frac{ \pi }{65} \cos \frac{2 \pi }{65} \cos \frac{4 \pi }{65}.....\cos \frac{32 \pi }{65} \) is
A). \( \Large \frac{1}{32} \)
B). \( \Large \frac{1}{64} \)
C). \( \Large -\frac{1}{32} \)
D). \( \Large -\frac{1}{64} \)
-- View Answer
3). If \( \Large \tan x + \cot x = 2,\ then\ \sin^{2n}x + \cos^{2n}x \) is equal to:
A). \( \Large 2^{n} \)
B). \( \Large -\frac{1}{2} \)
C). \( \Large \frac{1}{2} \)
D). \( \Large \frac{1}{2^{n-1}} \)
-- View Answer
4). If \( \Large \sin A + \cos B = a\ and\ \sin B + \cos A = b,\) then \( \Large \sin \left(A+B\right) \) is equal to:
A). \( \Large \frac{a^{2}+b^{2}}{2} \)
B). \( \Large \frac{a^{2}-b^{2}+2}{2} \)
C). \( \Large \frac{a^{2}+b^{2}-2}{2} \)
D). none of these
-- View Answer
5). \( \Large \frac{2 \sin \alpha }{1+ \cos\ \alpha + \sin \alpha } = x \), then \( \Large \frac{1- \cos \alpha - \sin \alpha }{\cos \alpha } \) equal to
A). \( \Large \frac{1}{x} \)
B). x
C). 1-x
D). none of these
-- View Answer
6). If \( \Large \sec \theta + \tan \theta = 1 \), then root of the equation \( \Large \left(a-2b+c\right)x^{2} + \left(b-2c+a\right)x + \left(c-2a+b\right) = 0 \) is:
A). \( \Large \sec \theta \)
B). \( \Large \tan \theta \)
C). \( \Large \sin \theta \)
D). \( \Large \cos \theta \)
-- View Answer
7). Which of the following relations is possible?
A). \( \Large \sin \theta = \frac{5}{3} \)
B). \( \Large \tan \theta = 100^{2} \)
C). \( \Large \cos \theta = \frac{1+p^{2}}{1-p^{2}},\ \left(p \ne \pm 1\right) \)
D). \( \Large \sec \theta = \frac{1}{2} \)
-- View Answer
8). The value of \( \Large \sin 20 ^{\circ} \sin 40 ^{\circ} \sin 60 ^{\circ} \sin80 ^{\circ} \) is equal to:
A). \( \Large -\frac{3}{16} \)
B). \( \Large \frac{5}{16} \)
C). \( \Large \frac{3}{16} \)
D). \( \Large -\frac{5}{16} \)
-- View Answer
9). The value of \( \Large \tan \alpha + 2 \tan 2 \alpha + 4 \tan + 8 \cot 8 \alpha \) is equal to:
A). \( \Large \tan \alpha \)
B). \( \Large 2 \tan \alpha \)
C). \( \Large \cot \alpha \)
D). \( \Large \cot 2 \alpha \)
-- View Answer
10). If \( \Large \cos 2 B = \frac{\cos \left(A+C\right) }{\cos \left(A-C\right) } \), then \( \Large \tan A \), \( \Large \tan B \), \( \Large \tan C \) are in
A). AP
B). GP
C). HP
D). none of these
-- View Answer