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Prove that: sin 105 ^(@) + cos 105 ^(@) ...

Prove that: `sin 105 ^(@) + cos 105 ^(@) = cos 45 ^(@)`

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ICSE-COMPOUND AND MULTIPLE ANGLES -EXERCISE 5(A)
  1. (sin ( theta -phi))/(sin theta sin phi) = cot phi - cot theta.

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  2. Prove that (sin (A - B))/( sin A sin B ) + ( sin (B -C))/( sin B sin C...

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  3. Prove that: sin 105 ^(@) + cos 105 ^(@) = cos 45 ^(@)

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  4. Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (a...

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  5. Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (a...

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  6. Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alph...

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  7. Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alph...

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  8. If A and B are acute angles, find (A+B) given sin A = (1)/(sqrt5) ,...

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  9. If A and B are acute angles, find (A+B) given tan A = (5)/(6), tan ...

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  10. Given that tan alpha = (m)/( m +1), tan beta = (1)/(2m +1) then what i...

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  11. In the Delta ABC the foot of the perpendicular from A to BC is D. Give...

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  12. Given that tan (A+ B) =1 and tan (A-B) = 1/7, find without using tab...

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  13. If tan (A +B) = x and tan B = 1/2 prove that tan A = (2 x -1)/(x +2) ...

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  14. If sin (alpha + beta) = 4/5 , sin (alpha -beta) = (5)/(13), alpha + be...

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  15. Prove that 1 + tan 2 theta tan theta = sec 2 theta .

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  16. Show that 4 sin ((pi)/(3) - theta ) sin ((pi)/(3) + theta) =3-4 sin ^(...

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  17. ( cos 17^(@) + sin 17^(@))/( cos 17^(@) - sin 17^(@)) = tan 62^(@)

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  18. tan 3A - tan 2 A - tan A = tan 3 A tan 2 A tan A.

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  19. tan 75 ^(@) - tan 30^(@)- tan 75^(@) tan 30^(@) =1.

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  20. Prove that cos 2 theta cos 2 phi + sin ^(2) ( theta - phi) -sin ^(2) (...

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