Math, asked by wkdkfj2811, 1 year ago

Prove that √sec²theta+ cosec²theta= tan theta+ cot theta

Answers

Answered by sandy1816

4

Step-by-step explanation:

√sec²A+cosec²A

=√1/cos²A+1/sin²A

=√sin²A+cos²A/sin²Acos²A

=√1/sin²Acos²A

=1/sinAcosA

=sin²A+cos²A/sinAcosA [sin²A+cos²A=1]

=sin²A/sinAcosA+cos²A/sinAcosA

=sinA/cosA+cosA/sinA

=tanA+cotA

Previous Question

Next Question

Similar questions

Physics, 6 months ago

Example 11.6 What is the temperature of the steel-copper Junction in the steady state of the system shown in Fig. 11.15. Length of the steel rod = 15.0 cm length of the copper rod = 10.0 cm. temperature of the furnace = 300 °C, temperature of the other end = 0 °C. The area of cross section of the steel rod is twice that of the copper rod. (Thermal conductivity of steel 50.2 J sm K and of copper =...

English, 6 months ago

had the poet's mother spent her childhood? Ans. The poet's mother had spent her childhood in the plains of Lucknow. 2. Why have the singers' voices been described as being full of 'longing'? What was the theme of their song? Ans. The singer's voices have been described as being full of 'longing' because those voices express a desire for union with the beloved or the lower Thom...

Math, 6 months ago

A monthly bus ticket cost 110. What is bus fare for a day?

English, 1 year ago

Invitation card development of botanical garden.

Hindi, 1 year ago

अस कोनत फळ आहे जे गोड असुनिह बाजारात विकल जात नाहि...

Social Sciences, 1 year ago

1 In fireworks, the green flame is produced because of: a) Sodium. b) Barium. c) Mercury. d) Potassium.

Environmental Sciences, 1 year ago

True or false? Earth Day is held on June 18.

Social Sciences, 1 year ago

1 On whose name is the highest award for services to the development of cinema is given? a) Raj Kapoor. b) Dada Saheb. c) Meena Kumari. d) Amitabh Bachchan.