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CBSE Class 12-science Answered

hello 
can you sol this -sin^3+2sin thetha cos^2 thetha 
mean i had solution but little confuse how it come means full elaborate it and give an example also like this so that i ansure myself that i understand this 
Asked by saggugurupal | 08 Oct, 2016, 10:46: PM
answered-by-expert Expert Answer
straight f open parentheses straight theta close parentheses space equals space minus sin cubed straight theta space plus space 2 sinθcos squared straight theta straight f apostrophe open parentheses straight theta close parentheses space equals space minus 3 sin squared θcosθ plus 2 cos cubed straight theta minus 4 sin squared θcosθ straight f apostrophe open parentheses straight theta close parentheses space equals space minus 7 sin squared θcosθ plus 2 cos cubed straight theta For space local space maxima space or space minima space we space must space have space straight f apostrophe open parentheses straight theta close parentheses space equals 0 rightwards double arrow negative 7 sin squared θcosθ plus 2 cos cubed straight theta space equals space 0 rightwards double arrow 7 sin squared θcosθ space equals space 2 cos cubed straight theta rightwards double arrow 7 sin squared straight theta space equals space 2 cos squared straight theta rightwards double arrow 7 sin squared straight theta space equals space 2 minus 2 sin squared straight theta rightwards double arrow 9 sin squared straight theta space equals space 2 rightwards double arrow 9 sin squared straight theta space equals space 2 rightwards double arrow straight theta space equals space 0.49088 minus straight pi comma space minus straight pi over 2 comma space minus 0.49088 comma space 0.49088 comma space straight pi over 2 comma space straight pi space minus space 0.49088 comma space straight pi space plus space 0.49088 comma space fraction numerator 3 straight pi over denominator 2 end fraction comma space 2 straight pi space minus space 0.49088 comma space space 2 straight pi space plus space 0.49088 comma space space space space space space space space space space space space space space fraction numerator 5 straight pi over denominator 2 end fraction comma space 3 straight pi space minus space 0.49088 Now space checking space the space sign space of space space straight f apostrophe open parentheses straight theta close parentheses space equals space minus 7 sin squared θcosθ plus 2 cos cubed straight theta space for space each space value space of space straight theta space we space get space whether space it space is space poitive space or space negative space then space we space can space say space whether space that space point space is space local space maximum space or space minimum. Local space minima space is space at space following space points. straight theta space equals space 0.49088 minus straight pi comma space space minus 0.49088 comma space space straight pi over 2 comma space straight pi space plus space 0.49088 comma space 2 straight pi space minus space 0.49088 comma space fraction numerator 5 straight pi over denominator 2 end fraction Local space maxima space is space at space following space points. straight theta space equals space minus straight pi over 2 comma space space 0.49088 comma space straight pi space minus space 0.49088 comma space fraction numerator 3 straight pi over denominator 2 end fraction comma space 2 straight pi space plus space 0.49088 comma space 3 straight pi space minus space 0.49088
Answered by Vijaykumar Wani | 10 Oct, 2016, 10:41: AM

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CBSE 12-science - Maths
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