Question

tanθ−cotθ=a
cosθ+sinθ=b
show that (a² + 4)(b² − 1)² = 4

Answer 1

Step-by-step explanation:

((tan-cot) square + 4)((cos+sin)square - 1)

(Tan square + cot square - 2tan.cot + 4)(cos square +sin square + 2cos.sin - 1)

((Sin/cos) square + (cos /sin) square + 2)(1+2cos.sin - 1)

(Sin square +cos square /cos. Sin + 2)(2cos.sin)

(1/cos.sin + 2)(2cos.sin)

1/cos.sin into 2cos.sin + 2

1 into 2 +2 =4

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