SSC CGL Previous Year Questions: Trigonometry - 3 - SSC CGL

The value of sin²22° + sin²68° + cot²30° is    (SSC CGL 1st Sit. 2015)

If the sum and difference of two angles are 22/9 radian and 36° respectively, then the value of smaller angle in degree taking the value of π as 22/ 7 is:   (SSC CGL 1st Sit. 2015)

The minimum  value of 2 sin² θ + 3 cos² θ is    (SSC CGL 1st Sit. 2015)

A 10 m long ladder is placed against a wall. It is inclined at an angle of 30° to the ground.  The distance (in m) of the foot of the ladder from the wall is (Given √3 = 1.732)    (SSC CGL 1st Sit. 2015)

If x cos θ – sin θ = 1, then x² – (1 + x²) sin θ equals    (SSC CGL 1st Sit. 2015)

The numerical value of      (SSC CGL 1st Sit. 2015)

Find the value of tan 4° tan 43° tan 47° tan 86°    (SSC CGL 1st Sit. 2015)

The maximum value of sin⁴θ + cos⁴θ is    (SSC CGL 1st Sit. 2015)

If α + β  = 90° then the expression  is equal to:    (SSC CHSL 2015)

If sin 2θ = √3/2 then the value of sin 3θ is equal to: (take (0° ≤ θ ≤ 90°)    (SSC CHSL 2015)

 If  then the value of sin²θ is:   (SSC CHSL 2015)

Value of the expression:
    (SSC CHSL 2015)

The value of x in the equation 
    (SSC CHSL 2015)

From two points on the ground and lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distances of the two points from the foot of the pillar are 12 metres and 27 metres and the two points lie on the same side of the pillar, then the height (in metres) of the pillar is:    (SSC Sub. Ins. 2015)

If sin θ + sin² θ =1, then the value of cos² θ + cos⁴ θ is:    (SSC Sub. Ins. 2015)

If α is an acute angle and 2sin α + 15cos² α = 7, then the value of cot α is:   (SSC Sub. Ins. 2015)

The shadow of a tower standing on a level plane is found to be 40m longer when the sun’s altitude is 45° than when it is 60°. The height of the tower is:    (SSC Sub. Ins. 2015)

The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitude of the sun changes from 45° to 30°. Then the height of the tower is    (SSC CHSL 2014)

If sin θ + cos θ = √2 cos θ, then the value of cot θ is    (SSC CGL 2014)

If cos α + sec α = √3, then the value of cos³ α + sec³ α is    (SSC CGL 2014)

If θ is a positive acute angle and cosec θ + cot θ = √3, then the value of cosec θ is   (SSC CGL 2014)

If sin 17° = x/y then sec 17° – sin 73° is equal to    (SSC CGL 2014)

The shadow of a tower standing on a level plane is found to be 30 m longer when the Sun's altitude changes from 60° to 45°. The height of the tower is    (SSC CGL 2014)

The value of  is equal to    (SSC CGL 2014)

The value of sin²1° + sin²2° + sin²3° + .... + sin²89° is    (SSC CGL 2014)

If (r cosθ - √3)² + (r sinθ – 1)² = 0, then the value of  is equal to   (SSC CHSL 2014)

If θ is a positive acute angle and 4 cos² θ – 4 cos θ + 1 = 0, then the value of tan (θ – 15°) is equal to    (SSC CHSL 2014)

The value of    (SSC CHSL 2014)

If x = a sin θ and y = b tan θ then prove that      (SSC Sub. Ins. 2014)

From the top of a light-house at a height 20 metres above sea-level, the angle of depression of a ship is 30°. The distance of the ship from the foot of the light-house is    (SSC Sub. Ins. 2014)

A kite is flying at a height of 50 metre. If the length of string is 100 metre then the inclination of string to the horizontal ground in degree measure is    (SSC Sub. Ins. 2014)

The simplest value of sin²x + 2 tan²x – 2 sec² x + cos² x is   (SSC Sub. Ins. 2014)

If 0 ≤ θ ≤ π/2 and sec² θ + tan² θ = 7, then θ is            (SSC Sub. Ins. 2014)

The value of   (sec² A – cosec² A)    (SSC CGL 1st Sit. 2013)

sin²θ – 3 sinθ + 2 = 0 will be true if    (SSC CGL 1st Sit. 2013)

The eliminant of θ from x cos θ – y sin θ = 2 and x sin θ + y cos θ = 4 will give    (SSC CGL 1st Sit. 2013)

If tan θ + cot θ = 2, then the value of tan²θ + cot²θ is    (SSC CGL 1st Sit. 2013)