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If 7sin2?+3cos2? = 4, show that tan? = 1/√3 .
Ans: If 7 Sin2? + 3 Cos2? = 4 S.T. Tan? 1/√3
7 Sin2? + 3 Cos2? = 4 (Sin2? + Cos2?)
⇒ 3 Sin2? = Cos2?
Sin 2? / Cos 2? = 1/3
⇒ Tan2? = 1/3
Tan? = 1/√3
If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3. Ans: 7 Cosec?-2Cot?=7 P.T 7Cot? - 3 Cosec?=3 7 Cosec?-3Cot?=7 ⇒7Cosec?-7=3Cot? ⇒7(Cosec?-1)=3Cot? ⇒7(C
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