2) If 7 sin A - 24 cosec A-o then find the value of sec A
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Correct Question :- If 7 sin A - 24 cos A = 0
then find the value of sec A?
Solution :
7-sinA-24.cosA = 0
- 7.sinA = 24.cosA
→ sinA/cosA = 24/7
tanA= 24/7
→ P/B = 24/7
so, using pythagoras theorem,
→ H = √(P² + B²)
→ H = √(24²+7²)
→ H= √(576 +49)
→ H = √(625)
→ H = 25
then,
→ secA= H/B
→ sec = (25 / 7) (Ans.)
if we try to solve given question :
- 7sinA - 24cosecA = 0
→ 7sinA = 24cosecA
→ 7sinA = 24/sinA
→ 7sin²A = 24
→ sin²A = 24/7
→ sinA = √(24/7)
→ sinA = √24 / √7 => P/H
here,
Vol) 4G
P> H. which is not Possible.
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