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Gelneren [198K]
3 years ago
12

Verify the identity. tan(θ) sin(θ) + cos(θ) = sec(θ)

Mathematics
1 answer:
MariettaO [177]3 years ago
4 0

Step-by-step explanation:

first of all

tan =  \ \frac{ \sin}{ \cos }

put above of equation

(sin/cos)(sin)+cos =sec

sin²/cos +cos=sec

take l.c.m

sin²+cos²/cos=sec

as sin ²+cos²=1 so

1/cos=sec

sec=sec

hence proved

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