4 3. If cosA cot A-sin A then find the value of 2tanA 5
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Answer:
cosA=4/5
sinA=±3/5
tanA=±3/4
cotA=±4/3
∴{cotA-sinA}/2tanA
≡{(cosA/sinA)-sinA/{2sinA/cosA}
≡{(c-s²)/s}×c/2s
=c{c-s²}/2s²
=½{c²-cs²}/s²
=½{(16/25)-(4/5)(9/25)}/(9/25)
=½{(80–3)/125}×(25/9)
=77/90
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