Given that sin ∝ = \(\frac{1}{2}\) and cos β = \(\frac{1}{2}\), then the value of (∝ + β) is ___________

(a)

0^o

(b)

30^o

(c)

60^o

(d)

90^o

The value of the expression \(\left[ \frac { { sin }^{ 2 }{ 22 }^{ o }+{ sin }^{ 2 }{ 68 }^{ o } }{ { cos }^{ 2 }{ 22 }^{ 0 }+{ cos }^{ 2 }{ 68 }^{ 0 } } +{ sin }^{ 2 }{ 63 }^{ o+ }{ cos }63^{ 0 }{ sin27 }^{ 0 } \right] \)is ___________

(a)

3

(b)

2

(c)

1

(d)

0

If 4 tan θ = 3, then \(\left( \frac { 4sin\theta -cos\theta }{ 4sin\theta +cos\theta } \right) \) is equal to ___________

(a)

\(\frac{2}{3}\)

(b)

\(\frac{1}{3}\)

(c)

\(\frac{1}{2}\)

(d)

\(\frac{3}{4}\)

If sin θ - cos θ = 0, then the value of (sin⁴ θ + cos⁴ θ) is ___________

(a)

1

(b)

\(\frac{3}{4}\)

(c)

\(\frac{1}{2}\)

(d)

\(\frac{1}{4}\)

Sin(45^o+ θ ) - cos(45^o - θ) is equal to ___________

(a)

2cos θ

(b)

0

(c)

2sin θ

(d)

1

A pole 6 m high a shadow 2\(\sqrt{3}\) m long on the ground, then the sun's elevation is ___________

(a)

60^o

(b)

45^o

(c)

30^o

(d)

90^o

The maximum value of sin θ is ___________

(a)

\(\frac{1}{2}\)

(b)

\(\frac{\sqrt{3}}{2}\)

(c)

1

(d)

\(\frac{1}{\sqrt2}\)

If A is an assets angle of Δ ABC, right angle at 3, then the value of sin A T cos A is ___________

(a)

=1

(b)

>1

(c)

<1

(d)

=2

If cotθ = b/a then value of \(\frac { cos\theta +sin\theta }{ cos\theta -sin\theta } \) a

(a)

\(\frac{b-c}{b+a}\)

(b)

b-a

(c)

b+a

(d)

-\(\frac{b+c}{b-a}\)

If tan θ = cot θ the value of sec θ is ___________

(a)

2

(b)

1

(c)

\(\frac{1}{\sqrt3}\)

(d)

\(\sqrt2\)

If a sin (90 - θ) of (90^o - θ) = cos(90^o - θ)tan equal to ___________

(a)

0

(b)

1

(c)

-1

(d)

2

If sec θ + tan θ = n, and sec θ - tan θ = 0, then the value of mn is ___________

(a)

2

(b)

1

(c)

土1

(d)

土2

The value of sin² θ + \(\frac { 1 }{ 1+{ tan }^{ 2 }\theta } \) of ___________

(a)

sin²θ

(b)

cos²θ

(c)

secθ

(d)

1

9 sec²A  - 9tan²A = ___________

(a)

1

(b)

9

(c)

8

(d)

0

From the figure, the value of cosec θ + cot θ is ___________

(a)

\(\frac { a+b }{ c } \)

(b)

\(\frac { c }{ a+b } \)

(c)

\(\frac { b+c }{ a } \)

(d)

\(\frac { b }{ a+c } \)