mark me brain list
plsssssssssssssss
Answer:
Simplify expression using trigonometric formulas
LHS = sinθ(1+tanθ)+cosθ(1+cotθ)
=sinθ(1+
cosθ
sinθ
)+cosθ(1+
)
=sinθ(
cosθ+sinθ
)+cosθ(
sinθ+cosθ
=(sinθ+cosθ)[
+
]
sinθ.cosθ
sin
2
θ+cos
θ
=
1
=secθ+cosecθ
=R.H.S
Hence Proved.
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
mark me brain list
plsssssssssssssss
Answer:
Simplify expression using trigonometric formulas
LHS = sinθ(1+tanθ)+cosθ(1+cotθ)
=sinθ(1+
cosθ
sinθ
)+cosθ(1+
sinθ
cosθ
)
=sinθ(
cosθ
cosθ+sinθ
)+cosθ(
sinθ
sinθ+cosθ
)
=(sinθ+cosθ)[
cosθ
sinθ
+
sinθ
cosθ
]
=(sinθ+cosθ)[
sinθ.cosθ
sin
2
θ+cos
2
θ
]
=
sinθ.cosθ
sinθ+cosθ
=
sinθ.cosθ
sinθ
+
sinθ.cosθ
cosθ
=
cosθ
1
+
sinθ
1
=secθ+cosecθ
=R.H.S
Hence Proved.