English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

If `cosec  theta = 2x and cot theta = 2/x ," find the value of"  2 ( x^2 - 1/ (x^2))`

If `sec theta + tan theta = x,"  find the value of " sec theta`

Find the value of `(cos 38° cosec 52°)/(tan 18° tan 35° tan 60° tan 72° tan 55°)`

If `sin theta = x , " write the value of cot "theta .`

If `sec theta = x ,"write the value of tan"  theta`.

Prove that `(sinθ - cosθ + 1)/(sinθ + cosθ - 1) = 1/(secθ - tanθ)`

Define an identity.

What is the value of (1 − cos² θ) cosec² θ? 

What is the value of (1 + cot² θ) sin² θ?

What is the value of \[\sin^2 \theta + \frac{1}{1 + \tan^2 \theta}\]

If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.

If cosec θ − cot θ = α, write the value of cosec θ + cot θ.

Write the value of cosec² (90° − θ) − tan² θ. 

Write the value of sin A cos (90° − A) + cos A sin (90° − A).

Write the value of \[\cot^2 \theta - \frac{1}{\sin^2 \theta}\] 

If x = a sin θ and y = b cos θ, what is the value of b²x² + a²y²?

If \[\sin \theta = \frac{4}{5}\] what is the value of cotθ + cosecθ? 

What is the value of 9cot² θ − 9cosec² θ? 

What is the value of \[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]

What is the value of \[\frac{\tan^2 \theta - \sec^2 \theta}{\cot^2 \theta - {cosec}^2 \theta}\]