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evablogger [386]
3 years ago
13

Angle x is such that sin x = a + b and cos x = a − b, where a and b are constants.

Mathematics
2 answers:
Mazyrski [523]3 years ago
3 0

Answer:

Step-by-step explanation:

sin x=a+b

cos x=a-b

sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²

or 2a²+2b²=1

a²+b²=1/2 which is constant for all values of x

(ii)

\frac{\sin x}{\cos x}=\frac{a+b}{a-b}\\\tan x=\frac{a+b}{a-b}=2\\a+b=2a-2b\\b+2b=2a-a\\or a=3b

trasher [3.6K]3 years ago
3 0

Answer:25

Step-by-step explanation:

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