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English Medium Class 10 - CBSE Question Bank Solutions

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`sqrt((1+cos theta)/(1-cos theta)) + sqrt((1-cos theta )/(1+ cos theta )) = 2 cosec theta`

 

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(cos^3 theta +sin^3 theta)/(cos theta + sin theta) + (cos ^3 theta - sin^3 theta)/(cos theta - sin theta) = 2`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

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`sin theta/((cot theta + cosec  theta)) - sin theta /( (cot theta - cosec  theta)) =2`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

` (sin theta - cos theta) / ( sin theta + cos theta ) + ( sin theta + cos theta ) / ( sin theta - cos theta ) = 2/ ((2 sin^2 theta -1))`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

` (sin theta + cos theta )/(sin theta - cos theta ) + ( sin theta - cos theta )/( sin theta + cos theta) = 2/ ((1- 2 cos^2 theta))`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(1+ cos  theta - sin^2 theta )/(sin theta (1+ cos theta))= cot theta`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(cos  ec^theta + cot theta )/( cos ec theta - cot theta  ) = (cosec theta + cot theta )^2 = 1+2 cot^2 theta + 2cosec theta  cot theta`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(sec theta + tan theta )/( sec theta - tan theta ) = ( sec theta + tan theta )^2 = 1+2 tan^2 theta + 25 sec theta tan theta `

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(1+ cos theta + sin theta)/( 1+ cos theta - sin theta )= (1+ sin theta )/(cos theta)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(sin theta+1-cos theta)/(cos theta-1+sin theta) = (1+ sin theta)/(cos theta)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(sin theta)/((sec theta + tan theta -1)) + cos theta/((cosec theta + cot theta -1))=1`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(sin theta +cos theta )/(sin theta - cos theta)+(sin theta- cos theta)/(sin theta + cos theta) = 2/((sin^2 theta - cos ^2 theta)) = 2/((2 sin^2 theta -1))`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(cos theta  cosec theta - sin theta sec theta )/(costheta + sin theta) = cosec theta - sec theta`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(1+ tan theta + cot theta )(sintheta - cos theta) = ((sec theta)/ (cosec^2 theta)-( cosec theta)/(sec^2 theta))`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(cot^2 theta ( sec theta - 1))/((1+ sin theta))+ (sec^2 theta(sin theta-1))/((1+ sec theta))=0`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`{1/((sec^2 theta- cos^2 theta))+ 1/((cosec^2 theta - sin^2 theta))} ( sin^2 theta cos^2 theta) = (1- sin^2 theta cos ^2 theta)/(2+ sin^2 theta cos^2 theta)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`((sin A-  sin B ))/(( cos A + cos B ))+ (( cos A - cos B ))/(( sinA + sin B ))=0` 

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

`(tan A + tanB )/(cot A + cot B) = tan A tan B`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Show that none of the following is an identity:
(i) `cos^2theta + cos theta =1`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Show that none of the following is an identity: 

`sin^2 theta + sin  theta =2`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined
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