What is the value of cos [(180 ? ?)/2] cos [(180 ? 9?)/2] + sin [(180 ? 3?)/2] s

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Question
What is the value of cos [(180 ? ?)/2] cos [(180 ? 9?)/2] + sin [(180 ? 3?)/2] sin [(180 ? 13?)/2]?
Options
A. sin 2? sin 4?
B. cos 2? cos 6?
C. sin 2? sin 6?
D. cos 2? cos 4?

Correct Answer

cos 2? cos 6?

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1. What is the value of sin (B ? C) cos (A ? D) + sin (A ? B) cos (C ? D) + sin (C ? A) cos (B ? D)?
Options
A. 3/2
B. ? 3
C. 1
D. 0

Discuss

Correct Answer: 0

2. What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) ? 4 cosec2 45 + 8 sin (p/2)?
Options
A. 25/4
B. 1
C. ? 7/2
D. 13/2

Discuss

Correct Answer: 25/4

3. What is the value of [(tan 5? + tan 3?)/4 cos 4? (tan 5? ? tan 3?)]?
Options
A. sin 2?
B. cos 2?
C. tan 4?
D. cot 2?

Discuss

Correct Answer: cos 2?

4. What is the value of [(sin x + sin y) (sin x ? sin y)]/[(cosx + cosy) (cosy ? cosx)]?
Options
A. 0
B. 1
C. ? 1
D. 2

Discuss

Correct Answer: 1

5. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?
Options
A. 1 : 2
B. 1 : ?3
C. 2 : ?3
D. 2 : 3

Discuss

Correct Answer: 1 : ?3

6. What is the value of [tan2 (90 ? ?) ? sin2 (90 ? ?)] cosec2 (90 ? ?) cot2 (90 ? ?)?
Options
A. 0
B. 1
C. -1
D. 2

Discuss

Correct Answer: 1

7. Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?
Options
A. xy
B. ?( y/ x)
C. ?( x/ y)
D. ?( xy)

Discuss

Correct Answer: ?( xy)

8. What is the value of 4cos90-A sin390+A - 4sin90+A cos390-Acos180+8A2 ?
Options
A. 1
B. -1
C. 0
D. 2

Discuss

Correct Answer: -1

9. The cube root of .000216 is:
Options
A. .6
B. .06
C. 77
D. 87

Discuss

Correct Answer: .06

Explanation:

${(. 000216)}^{\frac{1}{3}} = {(\frac{216}{10^{6}})}^{\frac{1}{3}} = {[\frac{6 * 6 * 6}{10^{2} * 10^{2} * 10^{2}}]}^{\frac{1}{3}} = [\frac{6}{10^{2}}] = 0.06$

10. If x = 7-43 then find the value of x+1x?
Options
A. 3sqrt{3}
B. 8sqrt{3}
C. 14
D. 14+8sqrt{3}

Discuss

Correct Answer: 14

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What is the value of cos [(180 ? ?)/2] cos [(180 ? 9?)/2] + sin [(180 ? 3?)/2] sin [(180 ? 13?)/2]?

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