English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

If \[sec\theta + tan\theta = x\] then \[tan\theta =\] 

\[\frac{x^2 - 1}{2x}\] is equal to 

The value of \[\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}\]

sec⁴ A − sec² A is equal to

cos⁴ A − sin⁴ A is equal to ______.

\[\frac{\sin \theta}{1 + \cos \theta}\]is equal to 

\[\frac{1 - \sin \theta}{\cos \theta}\] is equal to

The value of (1 + cot θ − cosec θ) (1 + tan θ + sec θ) is 

\[\frac{\tan \theta}{\sec \theta - 1} + \frac{\tan \theta}{\sec \theta + 1}\] is equal to 

(cosec θ − sin θ) (sec θ − cos θ) (tan θ + cot θ) is equal to

If x = a cos θ and y = b sin θ, then b²x² + a²y² =

If x = a sec θ and y = b tan θ, then b²x² − a²y² =

\[\frac{\tan \theta}{\sec \theta - 1} + \frac{\tan \theta}{\sec \theta + 1}\] is equal to 

2 (sin⁶ θ + cos⁶ θ) − 3 (sin⁴ θ + cos⁴ θ) is equal to 

If a cos θ + b sin θ = 4 and a sin θ − b sin θ = 3, then a² + b² = 

If a cot θ + b cosec θ = p and b cot θ − a cosec θ = q, then p² − q² 

The value of sin² 29° + sin² 61° is

If x = r sin θ cos ϕ, y = r sin θ sin ϕ and z = r cos θ, then 

If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ = 

If a cos θ + b sin θ = m and a sin θ − b cos θ = n, then a² + b² =