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CBSE Class 10 Answered

if θ is an acute angle and tan θ + cot θ = 2, then the value of sin³θ + cos³θ is
Asked by ab8657430691 | 06 Dec, 2021, 06:56: PM
answered-by-expert Expert Answer
tan space straight theta space plus space cot space straight theta space equals space 2
tan space straight theta space plus space fraction numerator 1 over denominator tan space straight theta end fraction space equals space 2

tan squared space straight theta minus 2 tan space straight theta plus 1 equals 0
open parentheses tan space straight theta minus 1 close parentheses squared equals 0
tan space straight theta equals 1
straight theta space equals space 45

so comma
sin space straight theta space equals space fraction numerator 1 over denominator square root of 2 end fraction
cos space straight theta space equals space fraction numerator 1 over denominator square root of 2 end fraction
sin ³ straight theta space plus space cos ³ straight theta space equals space fraction numerator 1 over denominator 2 square root of 2 end fraction plus fraction numerator 1 over denominator 2 square root of 2 end fraction equals fraction numerator 1 over denominator square root of 2 end fraction
Answered by Arun | 07 Dec, 2021, 09:38: AM
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