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Simplify : (cos(-theta))/(sin (90^(@)+th...

Simplify : `(cos(-theta))/(sin (90^(@)+theta))`

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sin(90^circ+theta) is

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

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

Prove that : (sin \theta . sin(90^(@) - \theta))/(cot (90^(@) - \theta)) = 1 - sin^(2) \theta

Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(costhetasin(90^0-theta)sintheta)/(cos(90^0-theta))=1

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+sintheta[{:(sin theta ,-costheta),(costheta, sintheta):}]

Prove the following identities: (i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1 (ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta (iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta

Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)=2

The integral I=intsin (2theta)[(1+cos^(2)theta)/(2sin^(2)theta)]d theta simplifies to (where, c is the integration constant)

ICSE-TRIGONOMETRICAL FUNCTIONS -Exercise 4(d)
  1. Find the value of sin 750^(@)cos300^(@)+cos1470^(@)sin(-1020^(@))

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  2. Evaluate (cos3 theta-2cos 4theta)/(sin 3 theta+2sin 4theta), when thet...

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  3. Simplify : (cos(-theta))/(sin (90^(@)+theta))

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  4. (tan(-theta))/(sin(540^(@)+theta))

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  5. (sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)co...

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  6. (sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@)+3sin 210^(@))

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  7. If sin (7 phi+9^(@))=cos2phi, find a value of phi.

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  8. Find the values of theta lying between 0^(@) and 360^(@) when sin th...

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  9. Find the values of theta lying between 0^(@) and 360^(@) when tan th...

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  10. Find the values of theta lying between 0^(@) and 360^(@) when sec th...

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  11. Find the values of theta lying between 0^(@) and 360^(@) when sin th...

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  12. Find the values of theta lying between 0^(@) and 360^(@) when tan th...

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  13. Find the values of theta lying between 0^(@) and 360^(@) when sin th...

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  14. Find the values of theta lying between 0^(@) and 360^(@) when costhe...

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  15. If 0^(@)lt theta lt 90^(@) and cos theta=(4)/(5) find the values of ...

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  16. If 0^(@)lt theta lt 90^(@) and cos theta=(4)/(5) find the values of ...

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  17. If 0^(@)lt theta lt 90^(@) and cos theta=(4)/(5) find the values of ...

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  18. If 0^(@)lt theta lt 90^(@) and cos theta=(4)/(5) find the values of ...

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  19. Find six angles for which sin theta=-(sqrt(3))/(2).

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  20. Find all the angles between 0^(@) and 720^(@) whose tangent is -(1)/(s...

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