Question

1 - Sin theta Root / 1 + Sin theta Root = sec theta - tan theta

Answer 1

Step-by-step explanation:

√1-sin∅

√1+sin∅

multiplying both numerator and dominator by √1-sin∅

√1-sin∅ × √1-sin∅

√1+sin∅ √1-sin∅

√1-sin∅-sin∅+sin²∅

√ 1-sin²∅

=√(1-sin∅)²

√(cos²∅)

= 1-sin∅

cos∅

= (1/cos∅) - sin∅/cos∅

= sec∅ - tan∅ ( sin∅/cos∅=tan∅)

= R.H.S