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In the given figure angle B = 90 ^(@) ...

In the given figure ` angle B = 90 ^(@) and angle ADB = x^(@) , ` Find :
(i) ` sin angle CAB `
(ii)` cos ^(2) C^(@) + sin ^(2) C^(@) `
(iii) ` tan x^(@) - cos x^(@) +3 sin x ^(@) `

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Verified by Experts

The correct Answer is:
`(4)/(5) (ii) 1 (iii) 3(2)/(15)`
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ICSE-CHAPTERWISE REVISION (STAGE 1) -Trigonometry
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  2. If 4 cos ^(2) A -3 =0 and 0^(@) le A le 90 ^(@) find : angla A

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  3. If 4 cos ^(2) A -3 =0 and 0^(@) le A le 90 ^(@) find : cos 3A

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  4. If 4 cos ^(2) A -3 =0 and 0^(@) le A le 90 ^(@) find : tan ^...

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  5. If 2 cos (A-B) = 2 sin ( A+ B) = sqrt3 find the value of acute a...

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  6. If cos A = (9)/(41) , find the value of (1)/(sin ^(2)A ) - cot ^...

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  7. If (2 cos 2A-1) (tan 3A-1)= 0, find all possible values of A

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  8. If tan A =1 and tan b = sqrt3 , evaluate : cos A cos B - sin A sin...

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  9. If tan A =1 and tan b = sqrt3 , evaluate : sin A cos B+ cos A sin...

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  10. Find the value of angle A , if : sin 2A = 1

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  11. Find the value of angle A , if : 2 sin 2A =1

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  12. Find the value of angle A , if : 2 sin A=1

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  13. Using the given figure , find the value of angle A , if : (i) x= y...

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  14. Find the 'x' in each of the following

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  15. In the figures given below , find AB:

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  16. In the given figure angle B = 90 ^(@) and angle ADB = x^(@) , Fin...

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  17. Evaluate : tan 25^(@) tan 65 ^(@) - cot 25^(@) cot 65^(@)

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  18. Evaluate : (sec 42^(@))/( cosec 48^(@)) + ( 3 tan 50 ^(@))/( cot 4...

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  19. In Delta ABC , angle B = 90 ^(@) Evaluate : cosec A cos C - sin ...

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  20. For triangle ABC prove that sec((A+B)/2)="cosec"C/2

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