Home
Class 9
MATHS
If "cosec" theta = sqrt(5), find the val...

If `"cosec" theta = sqrt(5)`, find the value of
(i) `2-sin^(2)theta - cos^(2)theta`
(ii) `2 + (1)/(sin^(2)theta) - (cos^(2)theta)/(sin^(2)theta)`

Text Solution

Verified by Experts

The correct Answer is:
(i) 1
(ii) 3
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ICSE|Exercise TOPIC -1 ( TRIGONOMETRIC RATIOS ) (4 MARKS QUESTIONS )|8 Videos
  • TRIGONOMETRY

    ICSE|Exercise TOPIC -2 ( TRIGONOMETRIC RATIOS OF STANDARD ANGLES ) (3 MARKS QUESTIONS )|9 Videos
  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(C)|118 Videos

Similar Questions

Explore conceptually related problems

If "cosec" theta = sqrt5 , find the value of : 2-sin^2theta - cos^2 theta

If "cosec" theta = sqrt5 , find the value of : 2+1/(sin^2theta)-(cos^2theta)/(sin^2theta)

If sin theta+cosec theta=2 , then find the value of sin^(20)theta+cosec^(20)theta .

cos theta sqrt(1-sin^(2)theta)=

If sin theta = cos theta find the value of : 3 tan ^(2) theta+ 2 sin ^(2) theta -1

Given : 4 sin theta = 3 cos theta , find the value of : (i) sin theta (ii) cos theta (iii) cot^(2) theta - "cosec"^(2) theta (iv) 4 cos^(2) theta - 3 sin^(2) theta + 2

find the value sin^(2)theta*cosec theta =?

Prove that : (i) 1+(cos^(2)theta)/(sin^(2)theta)-"cosec"^(2)theta=0 (ii) (1+tan^(2)theta)/("cosec"^(2)theta)=tan^(2)theta

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

cos theta+sqrt(3)sin theta=2