A tower of 45 cm high costs a shadow of 12 cm, then the angle of elevation of the dun is
A tower of 45 cm high costs a shadow of 12 cm, then the angle of elevation of the dun is
-45°
-35°
-65°
-75°
The Correct Option is A
Solution and Explanation
The correct option is (D): -75°
Top Questions on Trigonometric Functions
- Evaluate the limit: \[ \lim_{x \to 0} \csc{x} \left( \sqrt{2 \cos^2{x} + 3 \cos{x}} - \sqrt{\cos^2{x} + \sin{x} + 4} \right) \] is equal to:
- JEE Main - 2025
- Mathematics
- Trigonometric Functions
- The value of \( \cos \left( \sin^{-1} \left(-\frac{3}{5}\right) + \sin^{-1} \left(\frac{5}{13}\right) + \sin^{-1} \left(-\frac{33}{65}\right) \right) \) is:
- JEE Main - 2025
- Mathematics
- Trigonometric Functions
If \( \alpha>\beta>\gamma>0 \), then the expression \[ \cot^{-1} \beta + \left( \frac{1 + \beta^2}{\alpha - \beta} \right) + \cot^{-1} \gamma + \left( \frac{1 + \gamma^2}{\beta - \gamma} \right) + \cot^{-1} \alpha + \left( \frac{1 + \alpha^2}{\gamma - \alpha} \right) \] is equal to:
- JEE Main - 2025
- Mathematics
- Trigonometric Functions
- Let \( M \) and \( m \) respectively be the maximum and the minimum values of \[ f(x) = 1 + \sin^2 x \cos^2 x + \frac{4 \sin 4x}{\sin^2 x \cos^2 x} \] for \( x \in \mathbb{R} \). Then \( M^4 - m^4 \) is equal to:
- JEE Main - 2025
- Mathematics
- Trigonometric Functions
- If \( \alpha>\beta>\gamma>0 \), then the expression \[ \cot^{-1} \beta + \left( \frac{1 + \beta^2}{\alpha - \beta} \right) + \cot^{-1} \gamma + \left( \frac{1 + \gamma^2}{\beta - \gamma} \right) + \cot^{-1} \alpha + \left( \frac{1 + \alpha^2}{\gamma - \alpha} \right) \] is equal to:
- JEE Main - 2025
- Mathematics
- Trigonometric Functions
Questions Asked in SRMJEEE exam
The molar conductivities at infinite dilution for Na2SO4,K2S04,KCl, HCl and HCOONa at 300K are 260, 308, 150, 426, and 105 S cm2 mol-1, respectively. What will be A+m for formic acid in the same unit?
- SRMJEEE - 2023
- Electrochemistry
Calculate the Reynold’s number for a liquid of density 1 g/cm3, viscosity 8 x 10-4 Pa.s flowing at 0.5 m/s through a pipe of diameter 4 cm?
- SRMJEEE - 2023
- Fluid Mechanics
Which of the following statement is true for aqueous solution of 0.1 M urea, 0.2 M glucose nad 0.3 M sucrose
- SRMJEEE - 2023
- Biomolecules
Electrophilic halogenation of phenol does not require catalyst because
- SRMJEEE - 2023
- Haloalkanes and Haloarenes
- Which one is the correct expression of electric potential on the axial point of a dipole whose dipole moment is р and length is 2l, at a distance of r?
- SRMJEEE - 2023
- Electrostatics
Concepts Used:
Trigonometric Functions
The relationship between the sides and angles of a right-angle triangle is described by trigonometry functions, sometimes known as circular functions. These trigonometric functions derive the relationship between the angles and sides of a triangle. In trigonometry, there are three primary functions of sine (sin), cosine (cos), tangent (tan). The other three main functions can be derived from the primary functions as cotangent (cot), secant (sec), and cosecant (cosec).
Six Basic Trigonometric Functions:
- Sine Function: The ratio between the length of the opposite side of the triangle to the length of the hypotenuse of the triangle.
sin x = a/h
- Cosine Function: The ratio between the length of the adjacent side of the triangle to the length of the hypotenuse of the triangle.
cos x = b/h
- Tangent Function: The ratio between the length of the opposite side of the triangle to the adjacent side length.
tan x = a/b
Tan x can also be represented as sin x/cos x
- Secant Function: The reciprocal of the cosine function.
sec x = 1/cosx = h/b
- Cosecant Function: The reciprocal of the sine function.
cosec x = 1/sinx = h/a
- Cotangent Function: The reciprocal of the tangent function.
cot x = 1/tan x = b/a
Formulas of Trigonometric Functions:
