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त्रिकोणमिति सूत्र

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समकोण त्रिभुज का नियम ( Right Angle tringle's Rule ) :- ( कर्ण ) 2 = ( लम्ब ) 2 + ( आधार ) 2 ( लम्ब ) 2 = ( कर्ण ) 2 - ( आधार ) 2 ( आधार ) 2 = ( कर्ण ) 2 - ( लम्ब ) 2 त्रिकोणमिति अनुपात ( Trigonometric Ratio ) :- sinθ =   लम्ब   / कर्ण cosθ =   आधार   / कर्ण tanθ =  लम्ब   / आधार cotθ =  आधार   / लम्ब secθ =   कर्ण   / आधार cosecθ =  कर्ण   / लम्ब नोट:- आप इस TRICK के द्वारा भी इसे याद रख सकते हैं। त्रिकोणमिति सम्बन्ध ( Trigonometric Relation ) :- sin θ . cosec θ = 1 cos θ . sec θ = 1 tan θ . cot θ = 1 tan θ = sin θ / cos θ त्रिकोणमिति सारणी ( Trigonometric Chart ) :- कुछ महत्वपूर्ण सूत्र ( Some Important Formulas ) :- Sin 2 θ  + cos 2 θ = 1 1 + tan 2 θ = sec 2 θ 1 + cot 2 θ = cosec 2 θ sin ( A + B ) = sinA.cosB + cosA.sinB sin ( A - B ) = sinA.cosB - cosA.sinB cos ( A + B ) = cosA.cosB - sinA.sinB cos ( A - B ) = cosA.cosB + sinA.sinB tan ( A + B ) = ( tanA + tanB ) / ( 1 - tanA.tanB ) tan ( A
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Spotting the Errors ( Part-1 ) It's stupid to go ( a )/ to the expense of taking( b )/ music lessons if you never practice. ( c )/ No error ( d ) You will find it difficult ( a )/ to explain of your use ( b )/ of such offensive language. ( c )/ No error ( d ) Because of the ( a )/ extenuating circumstances,( b )/the court acquitted him out of the crime ( c )/ no error( d ). The carpet was badly stained ( a )/ to such an extent that 9 ( b )/ you couldn't tell its original colour. ( c )/ no error( d ) A terrific hue and cry ( a )/ was raised ( b )/ at the new tax proposal. ( c )/ no error( d ). The former general was ( a )/ exiled of his country because of ( b )/ his part in the plot against the government. ( c )/ no error ( d ). The company has( a )/ set off itself some stiff production ( b )/ goals of this year ( c )/ no error ( d ). It is greatly to Amit's credit ( a )/ that he gave back the money he found; ( b )/ his honesty does for him credit ( c )/ n
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