Trigonometry Test

Result

Trigonometry Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

If tanθ + secθ = √3; 0 < θ <π, then θ is equal to

A
π/3

B
π/2

C
2π/3

D
5π/6
Question 2
1 / -0

Find the value of the following expression:

[cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)]

A
– 1

B
0

C
1

D
3/2
Question 3
1 / -0

If ∆ABC is right-angled at C, then the value of cos (A + B) is

A
0

B
1

C
1/2

D
√3/2
Question 4
1 / -0

If sin A + sin ²A = 1, then the value of the expression (cos²A + cos⁴A) is

A
1

B
1/2

C
2

D
3
Question 5
1 / -0

If sin A = 1/2, then the value of cot A is

A
√3

B
1/√3

C
√3/2

D
2/√3
Question 6
1 / -0

Find the value of cos 30^o . cos 60^o . ------- cos 90^o . cos 220^o.

A
0

B
-1

C
1

D
None of these
Question 7
1 / -0

If sin 2θ = cos 4θ, then θ is equal to

A
12^o

B
15^o

C
18^o

D
21^o
Question 8
1 / -0

In a ΔABC, (b +c) cos A + (c + a) cos B + (a + b) cos C is equal to

A
0

B
2 r

C
a + b + c

D
none of these

Solution

(b+c)cosA+(c+a)cosB+(a+b)cosC=b.cosA+c.cosA+c.cosB+a.cosB+a.cosC+b.cosC=(b.cosC+c.cosB)+(a.cosC+c.cosA)+(b.cosA+a.cosB)=a+b+c [usingprojectionrule]

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Re-Attempt Weekly Quiz Competition

Trigonometry Test - 2

Result

Trigonometry Test - 2

Score

-

Rank

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SHARING IS CARING

Question 1

π/3

π/2

2π/3

5π/6

Question 2

– 1

0

1

3/2

Question 3

0

1

1/2

√3/2

Question 4

1

1/2

2

3

Question 5

√3

1/√3

√3/2

2/√3

Question 6

0

-1

1

None of these

Question 7

12o

15o

18o

21o

Question 8

0

2 r

a + b + c

none of these

Solution

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12^o

15^o

18^o

21^o