Trigonometry

Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the Trigonometry questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.

  • Q36. If θ+φ= 90 0 ,then tanθtanφ+tanθcotφ sinθsecφ sin 2 φ cos 2 θ =? MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGjb GaamOzaiaabccacqaH4oqCcqGHRaWkiiGacqWFgpGAcqGH9aqpcaaI 5aGaaGimamaaCaaaleqabaGaaGimaaaakiaacYcaqaaaaaaaaaWdbi aadshacaWGObGaamyzaiaad6gaaeaapaWaaOaaaeaadaWcaaqaaiGa cshacaGGHbGaaiOBaiabeI7aXjGacshacaGGHbGaaiOBaiab=z8aQj abgUcaRiGacshacaGGHbGaaiOBaiabeI7aXjGacogacaGGVbGaaiiD aiab=z8aQbqaaiGacohacaGGPbGaaiOBaiabeI7aXjGacohacaGGLb Gaai4yaiab=z8aQbaacqGHsisldaWcaaqaaiGacohacaGGPbGaaiOB amaaCaaaleqabaGaaGOmaaaakiab=z8aQbqaaiGacogacaGGVbGaai 4CamaaCaaaleqabaGaaGOmaaaakiabeI7aXbaaaSqabaGccqGH9aqp caGG=aaaaaa@6ED9@

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  • Q37.If P, Q, R are the interior angles of a triangle PQR, then cot Q+R 2 =? MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4yaiaac+ gacaGG0bWaaSaaaeaacaWGrbGaey4kaSIaamOuaaqaaiaaikdaaaGa eyypa0Jaai4paaaa@3DEE@

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  • Q38.Evaluate
    ( sinπ+cosecπ ) 2 + ( cosπ+secπ ) 2 7 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaci GGZbGaaiyAaiaac6gacqaHapaCcqGHRaWkciGGJbGaai4Baiaacoha caWGLbGaam4yaiabec8aWbGaayjkaiaawMcaamaaCaaaleqabaGaaG OmaaaakiabgUcaRmaabmaabaGaci4yaiaac+gacaGGZbGaeqiWdaNa ey4kaSIaci4CaiaacwgacaGGJbGaeqiWdahacaGLOaGaayzkaaWaaW baaSqabeaacaaIYaaaaOGaeyOeI0IaaG4naaaa@534F@

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  • Q39. cose c 2 θ+ sin 2 θ2=? MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4yaiaac+ gacaGGZbGaamyzaiaadogadaahaaWcbeqaaiaaikdaaaGccqaH4oqC cqGHRaWkciGGZbGaaiyAaiaac6gadaahaaWcbeqaaiaaikdaaaGccq aH4oqCcqGHsislcaaIYaGaeyypa0Jaai4paaaa@4719@

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  • Q40. Ifsinφ+cosφ=a and secφ+cosecφ=b,then b( a 2 1 )=? MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGjbGaamOza8aaciGGZbGaaiyAaiaac6gaiiGacqWFgpGAcqGH RaWkciGGJbGaai4BaiaacohacqWFgpGAcqGH9aqpcaWGHbGaaeiiai aabggacaqGUbGaaeizaiaabccaciGGZbGaaiyzaiaacogacqWFgpGA cqGHRaWkciGGJbGaai4BaiaacohacaWGLbGaam4yaiab=z8aQjabg2 da9iaadkgacaGGSaGaamiDaiaadIgacaWGLbGaamOBaiaabccacaWG IbWaaeWaaeaacaWGHbWaaWbaaSqabeaacaaIYaaaaOGaeyOeI0IaaG ymaaGaayjkaiaawMcaaiabg2da9iaac+daaaa@6252@

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  • Q41.A person of height 10m wants to get a fruit which is on a pole of height ( 50 3 )m. If he stands at a distance of( 20 3 )m from the foot of the pole, then the angle at which he should throw the stone, so that it hits the fruit is: MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaada WcaaqaaiaaiwdacaaIWaaabaGaaG4maaaaaiaawIcacaGLPaaaqaaa aaaaaaWdbiaad2gacaGGUaGaaeiiaiaadMeacaWGMbGaaeiiaiaadI gacaWGLbGaaeiiaiaadohacaWG0bGaamyyaiaad6gacaWGKbGaam4C aiaabccacaWGHbGaamiDaiaabccacaWGHbGaaeiiaiaadsgacaWGPb Gaam4CaiaadshacaWGHbGaamOBaiaadogacaWGLbGaaeiiaiaad+ga caWGMbWdamaabmaabaWaaSaaaeaacaaIYaGaaGimaaqaamaakaaaba GaaG4maaWcbeaaaaaakiaawIcacaGLPaaapeGaamyBaiaabccacaWG MbGaamOCaiaad+gacaWGTbGaaeiiaiaadshacaWGObGaamyzaiaabc cacaWGMbGaam4Baiaad+gacaWG0bGaaeiiaiaad+gacaWGMbGaaeii aiaadshacaWGObGaamyzaiaabccacaWGWbGaam4BaiaadYgacaWGLb GaaiilaiaabccacaWG0bGaamiAaiaadwgacaWGUbGaaeiiaiaadsha caWGObGaamyzaiaabccacaWGHbGaamOBaiaadEgacaWGSbGaamyzai aabccacaWGHbGaamiDaiaabccacaWG3bGaamiAaiaadMgacaWGJbGa amiAaiaabccacaWGObGaamyzaiaabccacaWGZbGaamiAaiaad+gaca WG1bGaamiBaiaadsgacaqGGaGaamiDaiaadIgacaWGYbGaam4Baiaa dEhacaqGGaGaamiDaiaadIgacaWGLbGaaeiiaiaadohacaWG0bGaam 4Baiaad6gacaWGLbGaaiilaiaabccacaWGZbGaam4BaiaabccacaWG 0bGaamiAaiaadggacaWG0bGaaeiiaiaadMgacaWG0bGaaeiiaiaadI gacaWGPbGaamiDaiaadohacaqGGaGaamiDaiaadIgacaWGLbGaaeii aiaadAgacaWGYbGaamyDaiaadMgacaWG0bGaaeiiaiaadMgacaWGZb GaaiOoaaaa@B86A@

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  • Q42.The Product of sin1°.Sin2°. Sin3° ...................... Sin180° MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qaciGGZbGaaiyAaiaac6gacaaIXaGaaeiSaiaab6cacaqGtbGaaeyA aiaab6gacaaIYaGaaeiSaiaab6cacaqGGaGaae4uaiaabMgacaqGUb GaaG4maiaabclacaqGGaGaaeOlaiaab6cacaqGUaGaaeOlaiaab6ca caqGUaGaaeOlaiaab6cacaqGUaGaaeOlaiaab6cacaqGUaGaaeOlai aab6cacaqGUaGaaeOlaiaab6cacaqGUaGaaeOlaiaab6cacaqGUaGa aeOlaiaabccacaqGtbGaaeyAaiaab6gacaaIXaGaaGioaiaaicdaca qGWcaaaa@5CC0@

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