Trigonometric funtions, calculus homework help

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Mathematics

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establish each identity

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tan 0+sec 0–1 tan 0-sec 0+1 tan Ꮎ + sec Ꮎ
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Explanation & Answer

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𝑡𝑎𝑛θ + secθ − 1
= 𝑡𝑎𝑛θ + secθ
𝑡𝑎𝑛θ − secθ + 1
Now consider R.H.S…..

𝑡𝑎𝑛θ + secθ − 1
=
𝑡𝑎𝑛θ − secθ + 1
𝑠𝑖𝑛𝜃

1

As 𝑡𝑎𝑛𝜃 = 𝑐𝑜𝑠𝜃 and 𝑠𝑒𝑐𝜃 = 𝑐𝑜𝑠𝜃, so putting in above, we get

=

𝑠𝑖𝑛𝜃
1
+
−1
𝑐𝑜𝑠𝜃 𝑐𝑜𝑠𝜃
𝑠𝑖𝑛𝜃
1

+1
𝑐𝑜𝑠𝜃 𝑐𝑜𝑠𝜃

Now, L.C.M in numerator and denominator is cos𝜃
So
𝑠...


Anonymous
Really useful study material!

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