An excellent collection of SSC Trigonometry questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Trigonometry for SSC CGL, CHSL, JE, GD constable, Stenographer, MTS, and CPO exams. Go through this very important online quiz based on model and previous year asked questions from SSC Trigonometry with solutions to ace the exam.
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P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20m, then the distance of P from the building is
A person of height 6ft. wants to pluck a fruit which is on a 26/3 ft. high tree. If the person is standing 8/√3 ft. away from the base of the tree, then at what angle should he throw a stone so that it hits the fruit ?
If θ is an acute angle and $$\tan^2\theta+\frac{1}{\tan^2\theta}=2$$ then the value of θ is :
If $$\frac{\cos\alpha}{\sin\beta}=n$$ and $$\frac{\cos\alpha}{\cos\beta}=m$$ then the value of $$\cos^{2} \beta$$ is
What is the simplified value of $$cosec2A + cot2A$$ ?
The value of $$\frac{sin 43^{\circ}}{cos 47^{\circ}}+\frac{cos 19^{\circ}}{sin 71^{\circ}}-8cos^{2}60^{\circ}$$ is
The angle of elevation of a tower from a distance of 100 metre from its foot is 30°. Then the height of the tower is
$$5tan\theta = 4$$, then the value of $$(\frac{5sin\theta - 3cos\theta}{5sin\theta + 3cos\theta})$$ is
If p sin θ = √3 and p cos θ = 1, then the value of p is :
If $$sin θ + sin^{2} θ = 1$$ then $$cos^2 θ + cos^4 θ$$ is equal to
If tan θ + cot θ = 5, then $$tan^2 θ + cot^2 θ$$ is
If 0° ≤ A ≤ 90°, the simplified form of the given expression sin A cos A (tan A - cot A) is
The numerical value of $$\frac{cos^2 45\circ}{sin^2 60\circ}+\frac{cos^2 60\circ}{sin^2 45\circ}-\frac{tan^230\circ}{cot^245\circ}-\frac{sin^230\circ}{cot^230\circ}$$ is
The value of tan1°tan2°tan3° ……………tan89° is
If sin 2θ =1/2, then the value of cos (75° - θ) is :
If cot A + cosec A = 3 and A is an acute angle, then the value of cos A is :
$$1 - \frac{sin^2 A}{1 + cos A} + \frac{1 + cos A}{sin A} - \frac{sin A}{1 - cos A}$$
Find the value of tan 4° tan 43° tan 47 tan 86°
If θ be acute angle and tan (4θ - 50°) = cot(50° - θ), then the value of 9 in degrees is:
The value of $$sin^{2}$$ 22° + $$sin^{2}$$ 68° + $$cot^{2}$$ 30° is
If the number of vertices, edges and faces of a rectangualr parallelopiped are denoted by v, e and f respectively, the value of (v - e + f) is
A kite is flying at the height of 75m from the ground. The string makes an angle θ (where cotθ = 8/15) with the level ground. Assuming that there is no slack in the string the length of the string is equal to :
If $$\alpha$$ is a positive acute angle and $$2sin\alpha + 15cos^{2}\alpha = 7$$, then the value of cota is:2
If (a^2 - b^2) sin θ + 2 ab cosθ = a^2 + b^2, then the value of tanθ is
If tanθ - cotθ = α and cosθ sinθ = b, then the value of (a^2 + 4) (b^2 - 1)^2 is:
The least value of 4cosec^2 α + 9sin^2 α is:
If $$ 0 \leq \theta \leq \frac{\pi}{2}$$, $$2ycos\theta=sin\theta$$ and $$\frac{x}{2cosec\theta}=y$$, then the value of $$x^2-4y^2$$ is
The maximum value of sin θ + cos θ is
If tan $$\theta$$ + cot $$\theta$$ = 2 then the value of $$\theta$$ is
If $$sin\theta + \sin^2\theta = 1$$, then the value of cos12$$\theta$$ + 3cos10$$\theta$$ + cos6$$\theta$$ + 3cos8$$\theta$$ - 1 is
If secθ + tanθ = p, (p ≠ 0) then secθ is equal to
If 0 ≤ α ≤ π/2 and 2sinα + 15 cos^2 α = 7 then the value of cot α is :
If $$u_n = cos^n α + sin^n α$$, then the value of $$2u_6 - 3u_4 +1$$ is :
If tan(x + y) tan(x - y) = 1, then the value of tan x is :
If sin (x + y) = cos [3(x + y)], then the value of tan[2(x + y)] is :
From the top of a cliff 90 metre high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is :
If A = 30°, B = 60° and C = 135°, then what is the value of $$sin^3A + cos^3B + tan^3C - 3sin A cos B tan C$$ ?
The minimum value of $$2sin^{2}$$ θ + $$3cos^{2}$$ θ is
A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation of 30° and after 2 minutes, he observes the same bird in the south at an angle of elevation of 60°. If the bird flies all along in a straight line at a height of 50 m, then its speed in km/h is :
The value of (1 + sec 20° + cot 70°) * (1 - cosec 20° + tan 70°) is ?
If x*sin^3 θ + y *cos^3 θ = sinθ * cosθ ≠ 0 and x sinθ - y cosθ = 0, then value of (x^2 + y^2 ) is
If secθ - cosecθ = 0, then the value of (secθ + cosecθ) is :
If $$x=cosec\theta-sin\theta$$ and $$y=sec\theta-cos\theta$$, then the value of $$x2y2(x2 + y2 + 3)$$
The least value of $$(4sec^2\theta + 9cosec^2\theta)$$ is
What is the least value of $$tan^2θ + cot^2θ + sin^2θ + cos^2θ + sec^2θ + cosec^2θ$$ ?
What is the value of $$(\frac{2}{\sqrt{3}}+tan45^\circ)$$ ?
If $$sin\frac{\pi{x}}{2}=x^{2}-2x+2$$, then the value of x is
The numerical value of $$1+\frac{1}{\cot^{2}63^{\circ}}-\sec^{2}27^{\circ}+\frac{1}{\sin^{2}63^{\circ}}-cosec^{2}27^{\circ}$$ is
If $$\cos\pi$$x$$=x^{2}-x+\frac{5}{4}$$ the value ue of x will be
In a right angled triangle ABC, ∠B is the right angle and AC = 2√5 cm. If AB - BC = 2 cm then the value of $$(cos^2 A - cos^2 C)$$ is :
If $$x cosθ - sinθ = 1,$$ then $$x^{2} - (1 +x^{2}) sinθ$$ equals
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