Math, asked by FLA, 1 year ago

ONLY STEP BY STEP ANSWER, NO FAKE ANSWER PLZ ​

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Answered by drone29
4

sin θ ( 1 + tan θ ) + cos θ ( 1 + cot θ )

sin θ ( 1 + sin θ / cos θ ) + cos θ ( 1 + cos θ / sin θ )

sin θ ( cos θ + sin θ ) / cos θ + cos θ ( sin θ + cos θ ) / sin θ

( cos θ + sin θ ) ( tan θ + cot θ )

( cos θ + sin θ ) ( sin² θ + cos²θ ) / ( sin θ cos θ )

( cos θ + sin θ ) / ( sin θ cos θ ) since sin² θ + cos²θ = 1

[ cos θ / ( sin θ cos θ ) ] + [ sin θ / ( sin θ cos θ ) ]

1 / sin θ + 1 / cos θ

cosec θ + sec θ

hence proved

pls mark as brainlist ans


FLA: can u define me 4th step?
drone29: (tan=sin/cos cot=cos/sin)
drone29: adding both eq.
drone29: we get , sin2+cos2/cos.sin
drone29: pls mrk as brainlist answer
FLA: tq for your kind help. ....
FLA: I will make you BRAINLIEST guarantee
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