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Miscellaneous Exercise
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Find sin x/2, cos x/2 and tan x/2 in each of the following: cos x = -1/3, x in quadrant III
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Find sin x/2, cos x/2 and tan x/2 in each of the following:
\[cos\text{ }x\text{ }=\text{ }-3/5\] FORMULA SUGGESTS,
Prove that:
HERE,
Prove that:
HERE,
Prove that: sin x + sin 3x + sin 5x + sin 7x = 4 cos x cos 2x sin 4x
HERE,
Prove that:
\[LHS\text{ }=\text{ }\left( cos\text{ }x\text{ }\text{ }cos\text{ }y \right)\text{ }2\text{ }+\text{ }\left( sin\text{ }x\text{ }\text{ }sin\text{ }y \right)\text{ }2\] By extending utilizing...
Prove that:
Consider \[LHS\text{ }=\text{ }\left( cos\text{ }x\text{ }+\text{ }cos\text{ }y \right)\text{ }2\text{ }+\text{ }\left( sin\text{ }x\text{ }\text{ }sin\text{ }y \right)\text{ }2\] we get \[=\text{...
Prove that: (sin 3x + sin x) sin x + (cos 3x – cos x) cos x = 0
Consider \[LHS\text{ }=\text{ }\left( sin\text{ }3x\text{ }+\text{ }sin\text{ }x \right)\text{ }sin\text{ }x\text{ }+\text{ }\left( cos\text{ }3x\text{ }\text{ }cos\text{ }x \right)\text{...
Prove that:
\[=\text{ }0\] = RHS