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
Trigonometry
The minimum value of \( \Large sin^{2} \theta+cos^{4} \theta \) is
A) \( \Large \frac{1}{\sqrt{2}} \)
B) \( \Large \frac{3}{5} \)
C) \( \Large \frac{3}{4} \)
D) \( \Large \frac{2}{3} \)
Correct Answer:
C) \( \Large \frac{3}{4} \)
Description for Correct answer:
Minimum value of
\( \Large sin^{2} \theta +cos^{4} \theta \) will be at \( \Large \theta \) = 45 degree
Required minimum value
\( \Large sin^{2} 45+cos^{4}45=\frac{1}{2}+\frac{1}{4}=\frac{3}{4} \)
Part of solved Trigonometry questions and answers :
>> Elementary Mathematics
>> Trigonometry
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 \( \Large sec \theta +tan \theta =2 \), what is the value of \( \Large sec \theta \) ?
A). \( \Large \frac{3}{2} \)
B). \( \Large \sqrt{2} \)
C). \( \Large \frac{5}{2} \)
D). \( \Large \frac{5}{4} \)
-- View Answer
2). What is \( \Large sin 25^{\circ} sin 35^{\circ} sec 65^{\circ} sec 55^{\circ}\) equal to?
A). -1
B). 0
C). \( \Large \frac{1}{2} \)
D). 1
-- View Answer
3). If p = a sin x + b cos x and q = a cos x - b sin x, then what is the of \( \Large p ^{2}+q^{2} \) ?
A). a + b
B). ab
C). \( \Large a ^{2}+b^{2} \)
D). \( \Large a ^{2}-b^{2} \)
-- View Answer
4). What is the value of \( \Large sec(90 ^{\circ} - \theta) \ sin \theta sec45^{\circ}\)?
A). 1
B). \( \Large \frac{\sqrt{3}}{2} \)
C). \( \Large \sqrt{2} \)
D). \( \Large \sqrt{3} \)
-- View Answer
5). If \( \Large tan \theta =\frac{4}{3} \) then the value of \( \Large \frac{3 \ sin \theta +2 \ cos \theta }{3 \ sin \theta -2 \ cos \theta } \) is
A). 0.5
B). -0.5
C). 3
D). -3
-- View Answer
6). If \( \Large sec \theta -cosec \theta =0 \), then the value of \( \Large tan \theta +cot \theta \) is
A). 0
B). 1
C). -1
D). 2
-- View Answer
7). If \( \Large tan \ 7 \theta \ tan \ 2 \theta=1 \),then the value of \( \Large tan \ 3 \theta \) is
A). \( \Large \sqrt{3} \)
B). \( \Large -\frac{1}{\sqrt{3}} \)
C). \( \Large \frac{1}{\sqrt{3}} \)
D). \( \Large -\sqrt{3} \)
-- View Answer
8). The expression \( \Large \frac{tan 57 ^{\circ} +cot 37 ^{\circ} }{tan 33 ^{\circ} + cot 53 ^{\circ} } \) is equal to
A). tan 33 \(^{\circ}\) cot 57\(^{\circ}\)
B). tan 57 \(^{\circ}\)cot 37 \(^{\circ}\)
C). tan 33 \(^{\circ}\)cot 53 \(^{\circ}\)
D). tan 53 \(^{\circ}\) cot 37 \(^{\circ}\)
-- View Answer
9). The numerical value of \( \Large \frac{5}{sec^{2} \theta }+\frac{2}{1+cot^{2} \theta }+3 \ sin^{2} \theta \) is
A). 5
B). 2
C). 3
D). 4
-- View Answer
10). The value of tan 4\(^{\circ}\).tan 43\(^{\circ}\).tan 47 \(^{\circ}\).tan 86 \(^{\circ}\) is
A). 2
B). 3
C). 1
D). 4
-- View Answer