Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

The greatest value of \( \Large \cos \theta \) for which \( \Large \cos 5 \theta = 0 \), is:

A) 0
B) \( \Large \frac{1+\sqrt{5}}{4} \)
C) \( \Large \sqrt{\frac{5+\sqrt{5}}{8}} \)
D) \( \Large \sqrt{\frac{5+\sqrt{1}}{4}} \)

Correct Answer:



C) \( \Large \sqrt{\frac{5+\sqrt{5}}{8}} \)

Part of solved Trigonometric ratio questions and answers : >> Elementary Mathematics >> Trigonometric ratio

Comments

Similar Questions

1). A solution \( \Large \left(x, y\right)\ of\ x^{2}+2x \sin xy + 1 = 0 \) is:

A). (1,0)

B). \( \Large \left(1,\ \frac{7 \pi }{2}\right) \)

C). \( \Large \left(-1, \frac{7 \pi }{2}\right) \)

D). (-1, 0)

-- View Answer

2). If \( \Large \tan \theta ,\ 2 \tan \theta + 2,\ 3 \tan \theta + 3 \) are in GP, then the value of \( \Large \frac{7-5 \cot \theta }{9-4\sqrt{sec ^{2} \theta - 1}} \) is:

A). \( \Large \frac{12}{5} \)

B). \( \Large -\frac{33}{28} \)

C). \( \Large \frac{33}{100} \)

D). \( \Large \frac{12}{13} \)

-- View Answer

3). The distance of the point (-2, 3) from the line x -y = 5 is:

A). \( \Large 5\sqrt{2} \)

B). \( \Large 2\sqrt{5} \)

C). \( \Large 3\sqrt{5} \)

D). \( \Large 5\sqrt{3} \)

-- View Answer

4). The equation of the straight line joining the origin to the point of intersection of \( \Large y-x+7=0\ and\ y+2x-2=0 \)is:

A). \( \Large 3x+4y=0 \)

B). \( \Large 3x-4y=0 \)

C). \( \Large 4x-3y=0 \)

D). \( \Large 4x+3y=0 \)

-- View Answer

5). The equation of the straight line which is perpendicular to\( \Large y = x \) and passes through (3, 2) is:

A). \( \Large x-y = 5 \)

B). \( \Large x+y = 5 \)

C). \( \Large x+y = 1 \)

D). \( \Large x-y = 1 \)

-- View Answer

6). The angle between the straight lines \( \Large x-y\sqrt{3}=5\ and\ \sqrt{3}x+y=7 \) is:

A). \( \Large 90 ^{\circ} \)

B). \( \Large 60 ^{\circ} \)

C). \( \Large 75 ^{\circ} \)

D). \( \Large 30 ^{\circ} \)

-- View Answer

7). The three straight lines \( \Large ax+by=c,\ bx+cy=a\ and\ cx+ay=b \) are collinear if:

A). \( \Large a+b+c = 0 \)

B). \( \Large c+a=b \)

C). \( \Large b+c=a \)

D). \( \Large a+b=c \)

-- View Answer

8). If a tangent to the curve \( \Large y=6x-x^{2} \) is parallel to the line \( \Large 4x-2y-1=0 \) then the point of tangency on the curve is: ' _

A). (6, 1)

B). (8, 2)

C). (2, 8)

D). (4, 2)

-- View Answer

9). Distance between the lines \( \Large 5x+3y-7=0\ and\ 15x+9y+14=0 \) is:

A). \( \Large \frac{35}{\sqrt{34}} \)

B). \( \Large \frac{1}{\sqrt{34}} \)

C). \( \Large \frac{35}{2\sqrt{34}} \)

D). \( \Large \frac{35}{3\sqrt{34}} \)

-- View Answer

10). The equation of the sides of a triangle are \( \Large x-3y=0.\ 4x+3y=5\ and\ 3x+y=0 \). The lines \( \Large 3x-4y=0 \) passage through

A). the incentre

B). the centroid

C). the orthocentre

D). the circumcentre

-- View Answer