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(vi)√1+sin a/1-sina
we will first rationalise it
√1+sin a× 1+sin a/1-sin a × 1+sin a
√(1+sin a )²/1²-sin²a
square and root will be cancelled in the nr.
1+sina /√cos²a ..... (sin²a+cos²a=1)identity
1+sin a /cos a = lhs
now rhs
sec a + tan a (tan a =sina /cosa)
1/cos a+ sin a/cos a
1+sin a/ cos a =rhs
hence LHS = RHS
(vii) SinA-2sin³A/2cos³A- cosA
SinA(1-2sin^2A)/(2cos^2A- 1)cosA
then, cancel (1-2sin^2A)/(2cos^2A- 1)
u will get sinA/cosA= tanA
sorry I forgot to add theta
hope this helps you.
pls mark as brainliest.
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