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Evaluate: sin(90^(@)-A)sinA-cos(90^(@)...

Evaluate:
`sin(90^(@)-A)sinA-cos(90^(@)-A)cosA`

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Show that : sin A cos A - (sin A cos(90^(@) - A) cos A)/ (sec (90^(@) - A)) - (cos A sin (90^(@) - A) sin A)/ (cosec (90^(@) - A)) = 0

Prove that (i) sin (90^(2)-A)cos (90^(@)-A)=(tanA)/(1+tan^(2)A) (ii) (cos(90^(@)-A).cosA)/(cotA)-sin^(2)A=0

sin(270^(@)-theta).sin(90^(@)-theta)-cos(270^(@)-theta).cos(90^(@)+theta)=

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

Find the value of : " "(sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@) times tan60^(@))

Prove that : (sin A )/(sin (90^(@) -A)) + (cos A )/( cos (90^(@) - A )) = sec A cosec A.

Find the value of : (sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@) times tan60^(@))

The value of 2sinA cos^(3)A -2sin^(3)A cosA is

Find the value of (sin30^(@))/(cos^(2)45^(@))-tan^(2)60^(@)+3cos90^(@)+sin0^(@) .

If A is an obtause angle, then (sin^(3)A-cos^(3)A)/(sinA-cosA)+(sinA)/(sqrt(1+tan^(2)A))-2tanA cotA. is always equal to

ICSE-COMPLEMENTARY ANGLES-EXERCISE
  1. Evaluate: sin 15^(@)cos 15^(@)-cos 75^(@)sin75^(@)

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  2. Evaluate: sin 42^(@)sin 48^(@)-cos 42^(@)cos 48^(@)

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  3. Evaluate: sin(90^(@)-A)sinA-cos(90^(@)-A)cosA

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  4. Evaluate: sin^(2)35^(@)-cos^(2)55^(@)

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  5. Evaluate: (cot 54^(@))/(tan 36^(@))+(tan 20^(@))/(cot 70^(@))-2

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  6. Evaluate: (2 tan 54^(@))/(cot 36^(@))-(cot80^(@))/(tan 10^(@))

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  7. Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

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  8. Evaluate: ((sin 77^(@))/(cos 13^(@)))^(2)+((cos 77^(@))/(sin 13^(@))...

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  9. Show that: tan 10^(@)tan 15^(@) tan 75^(@)tan 80^(@)=1

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  10. Show that: sin 42^(@)sec 48^(@)+cos 42^(@)cosec 48^(@)=2

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  11. Express the following in terms of angles between 0^(@) and 45^(@) si...

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  12. Express the following in terms of angles between 0^(@) and 45^(@) co...

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  13. Express the following in terms of angles between 0^(@) and 45^(@) co...

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  14. For triangle ABC, show that "sin"(A+B)/2="cos"C/2

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  15. For triangle ABC, show that "tan"(B+C)/2="cot"A/2

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  16. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

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  17. Evaluate : 3 cos 80^(@)cosec 10^(@)+2sin 59^(@)sec 31^(@)

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  18. Evaluate : (sin 80^(@))/(cos 10^(@))+sin 59^(@)sec 31^(@)

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  19. Evaluate : tan (55^(@)-A)-cot (35^(@)+A)

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  20. Evaluate : cosec(65^(@)+A)-sec(25^(@)-A)

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