Maths Test-06-trigonometry

Ques-01

(cosφ-sinφ) / (cosφ+sinφ) = (1-√3) / (1+√3)
find φ ???

Ques-02

sin (a+b-c) = 1/2
cos (b+c-a)= 1/2 and
tan (c+a-b) = 1
find a???

Ques-03

if  0° < φ < 90 and
tanφ = √(6+√(6+√(6+......)))
find sec²φ=??

Ques-04
Uⁿ =sinⁿ + cosⁿ , find 2U⁶  - 3U⁴ + 1

Ques-05

(tanφ + secφ - 1) / (tanφ - secφ + 1) = 
a- (sinφ+1)/cosφ
b - (cosφ+1)/sinφ
c- (sinφ-1)/ cosφ
d- none of these

Ques-06

4sinφ + 3cosφ = 4 and
4 cosφ - 3sinφ = x
find the value of x???

Ques-07

sinφ + sin²φ = 1 , find cos²φ + cos⁴φ=??

Ques-08

cosecφ - sinφ = x and
secφ - cosφ = y
find
x².y²(x²+y²+3)

Ques-09

secφ + tanφ = m , find secφ=??

Ques-10

cosφ + cos²φ = 1
find
sin¹²φ + 3sin¹⁰φ + 3sin⁸φ + sin⁶φ + 2sin⁴φ + 2 sin²φ - 2

Ques-11

(1-sinA)(1-sinB)(1-sinC) = (1+sinA)(1+sinB)(1+sinC)   (**cgl-13 tier-2)

find the value of any of the two sides??

Guddd  Luckkkk