Evaluate sec(cos^-1(tan(sin^-1(a/b)))where a/b is a positive real number.

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A: Use relation between sin-1 and tan-1   The expression is re written as,

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Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

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Q: What vaule of 0 = sin (0/3 - 10)

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Q: tan x + sin x Express in terms of cosine cSC x + cotx only

A: Given expression: tan x+sin xcsc x+cot x

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Q: tanx+secx-1 1+sinx tanx-secxx+1 cosx

A: We have prove trigonometric identities tanx+secx-1tanx-secx+1=1+sinxcosx Left hand side:…

Q: How would I simplify (1+sinx/cosx) + (cosx/1+sinx)

A: Answer and explanation is given below

Q: Verify the identity -1 sin'0+2cose-1 1 sin 0+3cos0-3 1-sece

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Q: Verify using trigonometric identities. sec x - 1 tan x tan x sec x + 1

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Q: Use a sketch to find the exact value of the expression sec [sin-1 (-√2/ 2)]

A: Given: secsin-1-22 we know that sin-1-12=-π4                                        ..1

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Q: If cosθ>0 and tan θ= -2/3, find secθ + tanθ/ secθ - tanθ

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Q: how to verify  step by step cos2x/sin2x+sinx/cosx=csc2x

A: Given:

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Q: Express sin 5x + sin 7x as a product of trigonometricfunctions.

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Q: Please help me verify this identity: 1 - sinx / 1 + sinx = (sec x - tan x)^2

A: Let's find.

Q: Verify the identity sin2 θ/2 = (sec θ - 1)/2 sec θ

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.