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The value of (sin(180^(@)+theta)cos(90...

The value of
`(sin(180^(@)+theta)cos(90^(@)+theta)tan(270^(@)-theta)cot(360^(@)-theta))/(sin(360^(@)-theta)cos(360^(@)+theta)cosec(-theta)sin(270^(@)+theta))`

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
A
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Prove that: (sin(180^(@)+theta)cos(90^(@)+theta)tan(270^(@)-theta)cot(360^(@)-theta))/(sin(360^(@)-theta)cos(360^(@)+theta)cos ec(-theta)sin(270^(@)+theta))=1

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

The value of cos(270^(@)+theta)cos(90^(@)+theta)-sin(270^(@)-theta)cos theta is

(cot(90^(@)-theta)sin(180^(@)-theta)sec(360^(@)-theta))/(tan(180^(@)+theta)sec(-theta)cos(90^(@)+theta))

The value of cos (270^(@) + theta) cos ( 90^(@) -theta) -sin (270^(@) - theta) cos theta is

(cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?

Simplify (sin(180^(@)+theta)cos(360^(@)-theta)tan(270^(@)-theta))/(sec^(2)(90^(@)+theta)tan(-theta)sin(270^(@)+theta))

Prove that: (tan(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)csc(90^(@)-theta))=1

Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

CENGAGE-STANDARD AND ALLIED ANGLES-TEST YOURSELF (LEVEL 3)
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  3. The value of (sin(180^(@)+theta)cos(90^(@)+theta)tan(270^(@)-theta)c...

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  4. The value of (cos 135^(@)-cos 120^(@))/(cos 135^(@)+cos 120^(@)) is

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  5. The value of 3tan^(2)45^(@)-sin^(2)60^(@)-1/2cot^(2)30^(@)+1/8sec^(2)4...

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  6. The value of tan 1^(@)tan2^(2)tan3^(@)………….tan 87^(@) tan 88^(@)tan 89...

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  7. Find the value of sin^(2)5^(@)+ sin^(2)10^(@)+ sin^(2)15^(@)+* * * +si...

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  8. The value of "cos"^(2)(pi)/16+"cos"^(2)(3pi)/16+"cos"^(2)(5pi)/16+"c...

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  9. The value of cot^(2)30^(@)-2cos^(2)60^(@)-3/4sin^(2)45^(@)-4sin^(2)3...

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  10. The value of (sec 480^(@).cosec570^(@).tan330^(@))/(sin600^(@).cos660^...

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  11. What is the value of the sin^(2) 6^(@) + sin^(2) 12^(@) + sin^(2) 18^(...

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  12. The value of tan9^(@).tan27^(@).tan45^(@).tan63^(@)tan81^(@) is

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  13. If 4 n alpha=pi, then find the value of tan alpha.tan 2 alpha.tan 3 al...

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  14. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

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  15. The value of "tan"^(2)(pi)/3+2"cos"^(2)(pi)/4+3"sec"^(2)(pi)/6+4"cos"^...

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  16. The value "sin"(pi)/6"cos "0+"sin"(pi)/4+"sin"(pi)/3"cos"(pi)/6 is

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  17. The value of (sin(-1))/(sec(180^(@)+A))-(tan(90^(@)+A))/(cotA)+(cos(...

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  18. The value of (cos(90^(@)+A)sec(-A)tan(180^(@)-A))/(sec(180^(@)+A)sin...

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  19. The value of sin10^(@)cos 80^(@)+cos10^(@)sin80^(@) is

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  20. The value of x if tan^(2)45^(@)-sin^(2)30^(@)=xsin^(2)45^(@)tan60^(@) ...

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