Question

Prove that sin theta bracket 1 + tan theta bracket close + cos bracket 1 + cot theta is equal to sec theta + cosec theta

Answer 1

Answer:

Step-by-step explanation:

SIN(1+TAN)+COS(1+COT)

PUTTING VALUE OF TAN N. COT

SIN(1+SIN/COS)+COS(1+COS/SIN)

SIN(COS+SIN/COS)+COS(SIN+COS/SIN)

TAKING COS+SIN COMMON,WE GET

(COS+SIN)(SIN+COS)(1/COS+1/SIN)

(COS+SIN)(SIN/COS+COS/SIN)

(COS+SIN)(SIN^2+COS^2/COS.SIN)

(COS+SIN)(1/COS.SIN)

COS+SIN/COS.SIN

WRITTING IT SEPARATELY

COS/COS.SIN+SIN/COS.SIN

COSEC+SEC=LHS. HENCE PROVED

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