Home
Class 12
MATHS
Suppose ABCS (in order) is a quadrilater...

Suppose ABCS (in order) is a quadrilateral inscribed in a circle. Which of the following is/are always true? `secB=secD` (b) `cotA+cotC=0` `cos e cA=cos e cC` (d) `tanB+tanD=0`

A

`secB=secB`

B

`cotA+cotC=0`

C

`cosecA=cosecC`

D

`tanB+tanD=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D

Opposite angles of a cyclic quadrilateral are supplementary.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|11 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Matrix)|3 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Single)|57 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Which of the following is/are always true? (a) secB=secD (b) cotA+cotC=0 (c) cos e cA=cos e cC (d) tanB+tanD=0

Which of the following is the greates? cos e c1 (b) cos e c2 cos e c4 (d) cos e c(-6)

Consider equation (x - sin alpha) (x-cos alpha) - 2 = 0 . Which of the following is /are true?

Which of the following number(s) is/are rational? (a) sin15^0 (b) cos15^0 (c) sin15^0cos15^0 (d) sin15^0cos75^0

If the function e^(-x) f(X) assumes its minimum in the interval [0,1] at x = 1//4 which of the following is true ?

If A ,B ,C ,D are angles of a cyclic quadrilateral, then prove that cos A+cos B+cos C+cos D=0

Which of the following functions of time represent periodic and non-periodic motion? (a) sin omegat+cos omegat (b) e- omegat

Let f(x)=sinx+a x+bdot Then which of the following is/are true? f(x)=0 has only one real root which is positive if a >1, b 1, b 1, b > 0. non eoft h e s e

Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integers. If f(g(20))-g(f(20))=28 , then which of the following is not true? a=15 b. a=6 c. b=14 d. b=3