Answer the question given below!!!
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hello there !!
i will be using A instead of theta
LHS= cos²A/1-tanA + sin³A/sinA-cosA
=> cos²A/1-(sinA/cosA) + sin³A/sinA-cosA
=> cos²A/cosA-sin/cosA + sin³A/sinA-cosA
=> cos³A/cosA-sinA - sin³A/cosA-sinA
=> [cos³A-sin³A]/cosA-sinA
=>[(cosA-sinA)(sin²A+cos²A+sinAcosA)]/cosA-sinA
=> sin²A+cos²A+sinAcosA => 1+sinAcosA =RHS
hope this was helpful
i will be using A instead of theta
LHS= cos²A/1-tanA + sin³A/sinA-cosA
=> cos²A/1-(sinA/cosA) + sin³A/sinA-cosA
=> cos²A/cosA-sin/cosA + sin³A/sinA-cosA
=> cos³A/cosA-sinA - sin³A/cosA-sinA
=> [cos³A-sin³A]/cosA-sinA
=>[(cosA-sinA)(sin²A+cos²A+sinAcosA)]/cosA-sinA
=> sin²A+cos²A+sinAcosA => 1+sinAcosA =RHS
hope this was helpful
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