ట్రిగోనమెట్రీ – Step-wise Solved Problems (181–200) | Ultimate Final Level

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181. sinθ + cosθ = a అయితే sinθcosθ = ?
Step: (a² − 1)/2
Final Answer = (a² − 1)/2

182. sinθcosθ = a అయితే sin²θ + cos²θ = ?
Final Answer = 1

183. sinθ + cosθ = √2 అయితే sinθcosθ = ?
Final Answer = 1/2

184. sinθcosθ = 1/2 అయితే sinθ + cosθ = ?
Final Answer = √2

185. sinθ + cosθ = 1 అయితే sinθcosθ = ?
Final Answer = 0

186. sinθ + cosθ = 0 అయితే sinθcosθ = ?
Final Answer = −1/2

187. tanθ + cotθ = a అయితే sinθcosθ = ?
Final Answer = 1/a

188. tanθ + cotθ = 2 అయితే θ = ?
Final Answer = 45°

189. sinθcosθ = a అయితే sin⁴θ + cos⁴θ = ?
Final Answer = 1 − 2a²

190. sinθcosθ = a అయితే sin⁶θ + cos⁶θ = ?
Final Answer = 1 − 3a²

191. sinθ + cosθ = a అయితే sin³θ + cos³θ = ?
Final Answer = a³ − (3a(a²−1))/2

192. sinθcosθ = a అయితే sin³θcos³θ = ?
Final Answer = a³

193. sinθ + cosθ max value?
Final Answer = √2

194. sinθcosθ max value?
Final Answer = 1/2

195. tanθ + cotθ min value?
Final Answer = 2

196. sin²θcos²θ max value?
Final Answer = 1/4

197. sinθ + cosθ ≥ ?
Final Answer = −√2

198. sinθcosθ ≤ ?
Final Answer = 1/2

199. sinθ + cosθ = 2 అయితే possible?
Final Answer = Not possible

200. sinθcosθ = 1 అయితే possible?
Final Answer = Not possible

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