Question
At the WHO Global TB Report 2025, India’s TB incidence
declined from 237 per lakh (2015) to what level in 2024?ÂSolution
India’s TB incidence dropped from 237 per lakh in 2015 to 187 per lakh in 2024, reflecting a 21% decline—almost double the global reduction rate. This progress was aided by expanded diagnostic coverage and TB Mukt Bharat Abhiyan.Â
If X = 15°, find the value of:
sin²(4X) + cos²(3X) - tan²(2X)What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?
The minimum value of 9 cos2 θ + 36 sec2 θ isÂ
If tanθ – cotθ = a and cosθ + sinθ = b, then (b2 –1)(a2 + 4) = ?
Find the value of the given expression.
3 × (sin 30° + cos 60°)
- Calculate the value of sin120 o  + cos180 o  + tan225 o .
Solve the following trigonometric expression:

- If sin 2a = (3/2), then find the value of (sin a + cos a).
- Find the simplified value of the expression:sin 2 45 o  + sin 2 60 o  - (1/3) X tan 2 60 o
What is the simplified value of the given expression?
3(sin² 30° + sin² 60°) + 6sin 45° - (3sec 60° + cot 45°)