Question

(sin theta - sec theta )² +(cos theta -cosec theta)² = (1-sec theta cosec theta)²

Answer 1

Step-by-step explanation:

LHS

• (sinø– secø)² + ( cosø–cosecø)².

{(sinø.cosø/cosø) – 1} + {(sinø.cosø/sinø) –1} (sinø.cosø–1)²/ cos²ø + (sinø.cosø–1)²/sin²ø (sinø.cosø–1)²(1/cos²ø+1/sin²ø)

(sin²ø.cos²ø–2sinø.cosø+1) . 1/sin²ø.cos²ø

sinø.cosø( sinø.cosø–2+1 ) /sin²ø.cos²ø

sinø.cosø–1 / sinø.cosø

(sinø.cosø/ sinø.cosø) – 1/ sinø.cosø

1– 2.secø.cosecø+ sec²ø.cosec²ø

(1–secø.cosecø)²( PORVE)

Answer 2

Step-by-step explanation:

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