Introduction to Trigonometry

In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?
1. There is no restriction on the measure of the angles
2. Both the angles should be obtuse
3. Both the angles should be acute
4. One of the angles is acute and the other is obtuse
Which of the following numbers can form sides of a right angled triangle?
1. 13 cm , 27 cm , 15 cm
2. 4 cm , 5 cm , 9 cm
3. 2 cm , 17 cm , 9 cm
4. 10 cm , 6 cm , 8 cm
If secθ + tanθ = x, then tanθ
1. (x²-1) / 2x
2. (x²+1) / 2x
3. (x²-1) / x
4. (x²+1) / x
If p cotθ = √(q²−p²)then the value of sinθ is ___
1. q/3p
2. q/2p
3. p/q
4. 0
If sin A = 8/17, find the value of secA cosA + cosecA cosA
1. 23/8
2. 15/8
3. 8/15
4. 6/23
(cos A / cot A) + sin A= ____________
1. cotA
2. 2sinA
3. 2CosA
4. secA
If 5tanθ=4, then value of (5sinθ -4cosθ)/(5sinθ +4cosθ) is
1. 1/6
2. 5/6
3. 0
4. 5/3
In △PQR, PQ = 12 cm and PR = 13 cm. ∠Q=90° Find tan P – cot R
1. -119/60
2. 119/60
3. 0
4. 1
If tanθ= (x sinϕ) / (1−xcosϕ) and, tan ϕ = (y sin θ)/ (1−y cos θ) then x/y =
1. sinθ / (1−cosϕ)
2. sinθ / (1−cosθ)
3. sinθ/sinϕ
4. sinϕ / sinθ
The value of tan1° × tan2° × tan3° ×……× tan 89° is
1. 1/2
2. 2
3. 1
4. 0
If tan2A = cot(A-18°), then value of A is
1. 27
2. 24
3. 36
4. 18
If tan 4θ=cot(θ−10°), where 4θ and(θ−10°) are acute angles then the value of θ in degrees is
1. 16
2. 20
3. 32
4. 40
Which of the following is correct for some θ, such that 0° ≤θ< 90°
1. 1/ cos θ < 1
2. 1/ sec θ < 1
3. 1/ sec θ> 1
4. None
The value cot²30°−2cos²60°−3/4sec²45°−4sin²30° is
1. 2
2. -1
3. 1
4. 0
cos 1° × cos 2° × cos 3° ×……..× cos 180° is equal to
1. 0
2. 1
3. 1/2
4. -1
The value of sin² 30° – cos² 30° is
1. -1/2
2. 3/2
3. 2/3
4. 0
If 3 cot θ = 2, then the value of tan θ
1. 2/3
2. 3/2
3. 1/2
4. 1
If cos (α + β) = 0, then sin (α – β) can be reduced to
1. cos β
2. cos 2β
3. sin α
4. sin 2α
If cos 9α = sin a and 9α < 90°, then the value of tan 5α is
1. 1/√3
2. √3
3. 1
4. 0
sin (45° + θ) – cos (45° – θ) is equal to
1. 2 cos θ
2. 0
3. 2 sin θ
4. 1
The value of sin² 5° + sin² 10° + sin² 15° + … + sin² 90° is equal to
1. 8
2. 8.5
3. 9
4. 9.5
The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is
1. -1
2. 0
3. 1
4. 3/2

Introduction to Trigonometry

Quiz