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(2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5...

`(2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(@).tan40^(@).tan50^(@).tan70^(@))/(5)` is equal to

A

a) `-1`

B

b) 0

C

c) 1

D

d) 2

Text Solution

Verified by Experts

The correct Answer is:
C
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tan10^(@)-tan50^(@)+tan70^(@)

Evaluate : (2sin68^(0))/(cos22^(0))-(2cot15^(0))/(5tan75^(0))-(3tan45^(0)tan20^(@)tan40^(@)tan50^(@)tan70^(@))/(5)

tan10^(@)-tan50^(@)+tan70^(@)=?

tan20^(@)+2tan50^(@)=

Find tan15^(@).tan25^(@).tan45^(@).tan65^(@).tan75^(@) .

(cot50^(@))/(tan40^(@))

Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos 70^@cosec 20^@=0 (ii) (cos 80^@)/(sin 10^@)+cos 59^@cosec 31^@=2 (iii) (2 sin 68^@)/(cos 22^@)-(2 cot 15^@)/(5 tan 75^@)-(3tan 45^@tan 20^@tan 40^@tan 50^@tan 70^@)/(5)=1 (iv) (sin 18^@)/(cos 72^@)+sqrt(3) (tan 10^@ tan 30^@tan 40^@tan 50^@tan 80^@)=2 (v) (7cos 55^@)/(3 sin 35^@)-(4(cos 70^@cosec 20^@))/(3(tan 5^@tan 25^@tan 45^@tan 65^@tan 856^@))=1

Prove that: tan20^(@)tan40^(@)tan60^(@)tan80^(@)=3

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If sin61^(@)=(a)/(sqrt(a^(2)+b^(2))), then find the value of tan61^(@)...

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  2. If (cos^(2)theta)/(cot^(2)theta-cos^(2)theta)=3and0^(@)ltthetalt90^(@)...

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  3. (2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(...

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  4. If cosec39^(@)=x, then the value of (1)/(cosec^(2)51^(@))+sin^(2)39^...

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  5. Find the value of (1)/((1+tan^(2)theta))+(1)/((1+cot^(2)theta))

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  6. The value of (cos^(3)20^(@)-cos^(3)70^(@))/(sin^(3)70^(@)-sin^(3)20^(@...

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  7. The value of (cos^(n)38^(@)-cot^(n)52^(@))/(sin^(n)52^(@)-tan^(n)38^(@...

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  8. The value of (cot^(n)29^(@)-cot^(n)61^(@))/(tan^(n)61^(@)-tan^(n)29^(@...

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  9. If x=tan15^(@), then find the value of x^(2)+(1)/(x^(2)).

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  10. If x=cot75^(@), then find the value of sqrt(x)+(1)/(sqrt(x)).

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  11. If tan(A+B)=(1)/(2),tan(A-B)=(1)/(3), then find the value of tan2A.

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  12. If tan(A+2B)=(1)/(2),tan2(A-B)=(1)/(3), then find the value of angleA.

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  13. If cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2), then find the minimum positive...

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  14. If sin(x+y)=1andtan(x-y)=(1)/(sqrt(3)), then the value of sinx+tany is...

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  15. If sinA+cosA=(3)/(5), then find the value of sinA-cosA.

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  16. If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=...

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  17. If cosec^(2)theta+cot^(2)theta=(5)/(7), then find the value of cosec^(...

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  18. If secx+tanx=a, then find the value of sinx.

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  19. If cosec x -cot x = a, then find the value of cosx.

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  20. Find the value of (sinx+cosecx)^(2)+(cosx+secx)^(2)-(tan^(2)x+cot^(2...

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