help me out. please. III)
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iii)
L.H.S. = cosec²67° - tan²23°
= cosec²67° - tan²(90° - 67°)
= cosec²67° - cot²67°
= 1 = R.H.S.
Hence, proved.
iv)
L.H.S. = sec²12° - cot²78°
= sec²12° - cot²(90° - 12°)
= sec²12° - tan²12°
= 1 = R.H.S.
Hence, proved.
v)
L.H.S. = sin²35° + sin²55°
= sin²35° + sin²(90° - 35°)
= sin²35° + cos²35°
= 1 = R.H.S.
Hence, proved.
vi)
L.H.S. = cosec²84° - tan²6°
= cosec²84° - tan²(90° - 84°)
= cosec²84° - cot²84°
= 1 = R.H.S.
Hence, proved.
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