Question:
If \(A=\frac {\pi}{4}\), then \((1+tanA) (1+tan^2A) (+tan^3A)=\)
If \(A=\frac {\pi}{4}\), then \((1+tanA) (1+tan^2A) (+tan^3A)=\)
Updated On: Apr 29, 2024
- 6
- 4
- 8
- 2
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C): 8.
Was this answer helpful?
0
0
Top Questions on Trigonometric Identities
Prove that $\dfrac{1+\sec\theta}{\sec\theta}=\dfrac{\sin^2\theta}{1-\cos\theta}$.
- UP Board X - 2025
- Mathematics
- Trigonometric Identities
- Prove that \(\cot^{-1}\left(\frac{\sqrt{1+\sin x} + \sqrt{1-\sin x}}{\sqrt{1+\sin x} - \sqrt{1-\sin x}}\right) = \frac{x}{2}\), \(x \in (0, \pi/4)\).
- UP Board XII - 2025
- Mathematics
- Trigonometric Identities
- Prove that \(\displaystyle \frac{\sin A-\cos A+1}{\sin A+\cos A-1}=\frac{1}{\sec A-\tan A}\).
- UP Board X - 2025
- Mathematics
- Trigonometric Identities
- The value of $(\sec A + \tan A)(1 - \sin A)$ will be:
- UP Board X - 2025
- Mathematics
- Trigonometric Identities
The value of $\dfrac{1+\cot^2 \theta}{1+\tan^2 \theta}$ will be:
- UP Board X - 2025
- Mathematics
- Trigonometric Identities
View More Questions
Questions Asked in TS POLYCET exam
- If the pair of equations \( 3x + 4y = k \) and \( 9x + 12y = 6 \) has infinite number of solutions, then the value of k is:
- TS POLYCET - 2025
- Lines and Angles
- What is the nature of a solution whose pH value is 'zero'?
- TS POLYCET - 2025
- pH value
- Tesla is the SI unit of:
- TS POLYCET - 2025
- Kirchhoff's Laws
- The volume of CO\(_2\) liberated in litres at STP when 25 g of CaCO\(_3\) is treated with dilute HCl containing 14.6 g of HCl is:
- TS POLYCET - 2025
- Chemical Reactions
- Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x>0 \)) is 20, then the value of \( x \) is:
- TS POLYCET - 2025
- Solution of a Linear Equation
View More Questions