Q1: If cotθ = 7/8 then what is the value of
Sol:
Q2: If tan A then find sin A.
Sol: In a right Δ ABC (∠B = 90°), Hypotenuse = AC, Base = AB, and Perpendicular = BC.
Since,
Using Pythagoras theorem, we have:
Q3: Evaluate cos 60°· sin 30° + sin 60°· cos 30°.
Sol: We have:
cos 60°· sin 30° + sin 60°· cos 30°
Q4: In the given figure, AC is the length of a ladder. Find it.
Sol: Let AC =x = [Length of ladder]
∴ In right Δ ABC,
Thus, the length of the ladder is 2√3 m.
Q5: If sin θ = 12/13 , find the value of: .
Sol:
Q6: In the given figure, find BC.
Sol: In Δ ABC,
Q7: In Δ ABC, if AD ⊥ BC and BD = 10 cm; ∠ B = 60° and ∠C = 30°, then find CD.
Sol: In right Δ ABD, we have
Q8: In the given figure, find AC, if AB = 12 cm.
Sol:
Q9: In the given figure, Δ ABC is a right triangle. Find the value of 2 sinθ − cosθ.
Sol: We have the right Δ ABC,
Q10: In the figure, find sinA.
Sol: In right Δ ABC,
Q11: Find the value of:
Sol: We have:
Q12: Write the value of:
Sol:
Q13: Write the value of:
Ans:
Q14: If sec2 θ (1 + sin θ) (1 − sinθ) = k, find the value of k.
Sol:
Q15: If sin then find the value of (2 cot2 θ + 2).
Sol: 2 cot2 θ + 2 = 2 (cot2 θ + 1) = 2 (cosec2 θ)
Q16: If cos A = 3/5, find 9 cot2 A − 1.
Q18: If sinθ = cosθ, find the value of θ.
Sol: We have:
sinθ = cosθ
Dividing both sides by cosθ, we get
⇒ tan θ = 1 ...(1)
From, the table, we have:
tan 45° = 1 ...(2)
From (1) and (2), we have:
θ = 45°.
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1. What is trigonometry? |
2. Why is trigonometry important? |
3. What are the basic trigonometric ratios? |
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