IBPS RRB PO Trigonometry Questions

Simplify: (1 - sin²θ) / cos θ

A man standing 40 metres away from the base of a tower observes the angle of elevation to the top of the tower as 30°. Find the height of the tower. (Use √3 ≈ 1.732)

An observer on the ground sees the top of a tree at an angle of elevation of 30°. If the observer moves 20 metres closer to the tree, the angle of elevation becomes 60°. Find the height of the tree.

In a right triangle, if the opposite side is 8 cm and the hypotenuse is 17 cm, find sin θ.

If tan θ = 5/12, find sin θ (where θ is acute).

A man standing on the ground observes the angle of elevation to the top of a cliff as 45°. He then walks 50 metres away from the cliff, and the angle of elevation becomes 30°. Find the height of the cliff.

In a right-angled triangle, if tan θ = 12/5, what is the value of sec θ?

A ladder leans against a wall such that its foot is 9 metres from the wall. The angle of elevation from the foot of the ladder to the top of the wall is 60°. Find the height of the wall.

If sec(36°) = m, then what is cosec(54°)?

sin(15°) × cosec(75°) + cos(15°) × sec(75°) = ?

If sin(35°) = k, then what is the value of cos(55°)?

If cot θ = 5/12, find the value of csc θ (where θ is acute).

tan(28°) × tan(62°) = ?

Simplify: sec²θ - tan²θ

If cos(42°) = 0.743, then sin(48°) = ?

If tan θ = 1, what is the value of θ in degrees (where 0° < θ < 90°)?

cot(67°) = tan(x°). Find the value of x.

From a point on the ground 60 metres away from a building, the angle of elevation to the top is 45°. What is the height of the building?

If cos(18°) = p, what is sin²(72°) + cos²(18°) equal to?

If cot(47°) = m, express tan(43°) in terms of m.

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