Need help with trig homework

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Need help with trig homework

I cant figure out #51,55,59,63,67,71

EOO basically. No examples in the book and teacher didnt go over those

helpp

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>>28650

how can you do 49,50 and 52 if you can't do 51? They are basically the same

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I didnt do those senpai

We are only required to do numbers from every other odd

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>>28656

sec(a)=1/cos(a)

csc=1/sin(a)

tan(a)=sin(a)/cos(a)

cot(a)=1/tan(a)

sin^2(a)+cos^2(a)=1

sin(a+90ยบ)=cos(a)

(x+y)^2=x^2+2xy+y^2

use those and always replace everything with cos and sin, should be enough to solve those

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I would do these, but I'm using clover on a mobile device and don't want to bother. My condolences, OP, try YouTube for tutorials. Trig is just algebra with weird new rules, it's good to force yourself to memorize the concepts (like what it means to multiply -> sets of things)

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>>28650

71. is just basic algebra

assume sqrt(x^2 - 1) = x - 1 where x = sec theta

square: x^2 - 1 = (x-1)^2 = x^2 - 2x + 1

simplify: 2x = 2, x = 1

The equation is only correct if sec theta = 1/cos theta = 1, that is, if theta = 2 pi n (integer n) and is not an identity.

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>>28650

51)

use the binomial formula (a+b)(a-b) = a^2 - b^2 replace tan x and sec x by sin x and cos x

use sin^2 x +cos^2 x = 1

55) s^2 - 4 = (s - 2)(s + 2)

59) simply replace sec and tan

63) sin^2 x + cos^2 x = 1

67) use the addition theorems if you have them: sin(2x) = 2sin(x)cos(x) and you see that the equation is only valid if sin x = 0 (or if cos x = 1).

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