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If sin θ + cosec θ = 2, then the value of $sin^2θ + cosec^2θ$ is : |
8 4 1 2 |
2 |
sin θ + cosec θ = 2 on squaring both side (sin θ + cosec θ)² = 2² sin² θ + cosec² θ + 2.sin θ . cosec θ = 4 { we know, sin θ = \(\frac{1 }{ cosecθ}\) } sin² θ + cosec² θ + 2 = 4 sin² θ + cosec² θ = 2
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