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if sin theta minus cos theta is equal to zero then the value of sin 4 theta + cos 4 theta is equal to what |
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Answer» Answer: 3√2 Step-by-step EXPLANATION: sinθ -cosθ =0 squaring on both sides , (sinθ - cosθ)² = (0)² sin²θ + cos²θ - 2 sinθcosθ = 0 1 - 2 sinθcosθ = 0 2 sinθcosθ=1 sinθcosθ = 1/2 (sin4θ + cos4θ )² = 16sin²θ + 16cos²θ +2 sinθcosθ (sin4θ + cos4θ )² =16 (sin²θ +cos²θ) + 2×(1/2) (sin4θ + cos4θ )² = 16+2 (sin4θ + cos4θ )² = 18 sin4θ + cos4θ = √18 sin4θ + cos4θ = √2 ×√9 sin4θ + cos4θ = 3√2 hope it HELPS:) |
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