Home
Class 12
MATHS
If y sinphi = x sin (2theta + phi) show ...

If `y sinphi = x sin (2theta + phi)` show that `(x + y) cot (theta + phi) = (y-x) cot theta`.

Text Solution

AI Generated Solution

To solve the problem, we start with the given equation: **Given:** \[ y \sin \phi = x \sin(2\theta + \phi) \] We need to show that: \[ (x + y) \cot(\theta + \phi) = (y - x) \cot \theta \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.4|26 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.5|6 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.2|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

If 8theta = pi show that cot 7theta+cot theta = 0

(sin (theta + phi))/( sin theta cos phi) = cot theta tan phi +1.

Prove that cos 2 theta cos 2 phi + sin ^(2) ( theta - phi) -sin ^(2) (theta + phi) = cos ( 2 theta + 2 phi).

If 3 tan theta tan phi=1 , then prove that 2 cos (theta+phi)=cos (theta-phi) .

(sin ( theta -phi))/(sin theta sin phi) = cot phi - cot theta.

If sintheta=5sin(theta+phi) then tan(theta+phi)=

The family of lines (2 cos theta + 3 sin theta) x + (3 cos theta - 5 sin theta) y-(5 cos theta - 2 sin theta) = 0 is concurrent at (x_1, y_1) and the family of lines (a+2b) x+(a-3b) y+b-a=0 for different values of a and b is concurrent at (x_2, y_2) then : (A) x_2 + y_2 = x_1 (B) x_2 + y_2 = y_1 (C) 6x_2 + y_2 = 2x_1 + y_1 (D) none of these

(sin (theta+phi) -2 sintheta+ sin (theta-phi))/( cos(theta+phi) -2 costheta+ cos (theta-phi))= tan theta

" If "|{:(sin theta cos phi,,sin theta sin phi,,cos theta),(cos theta cos phi,, cos theta sin phi,,-sin theta),(-sin theta sin phi,,sin theta cos phi,,theta):}| then

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.